3783456 has 96 divisors (see below), whose sum is σ = 11491200. Its totient is φ = 1209600.

The previous prime is 3783449. The next prime is 3783463. The reversal of 3783456 is 6543873.

It is a happy number.

3783456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3783449) and next prime (3783463).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3² + 7² + 8⁷ + 3⁸ + 4³ + 5 + 6⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 3783456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24981 + ... + 25131.

It is an arithmetic number, because the mean of its divisors is an integer number (119700).

Almost surely, 2^3783456 is an apocalyptic number.

3783456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3783456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745600).

3783456 is an abundant number, since it is smaller than the sum of its proper divisors (7707744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3783456 is a wasteful number, since it uses less digits than its factorization.

3783456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3783456 is about 1945.1107937596. The cubic root of 3783456 is about 155.8222828263.

The spelling of 3783456 in words is "three million, seven hundred eighty-three thousand, four hundred fifty-six".