3464400 has 60 divisors (see below), whose sum is σ = 11101472. Its totient is φ = 923520.

The previous prime is 3464389. The next prime is 3464407. The reversal of 3464400 is 44643.

3464400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3464407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 244 + ... + 2643.

Almost surely, 2^3464400 is an apocalyptic number.

3464400 is a gapful number since it is divisible by the number (30) 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 3464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5550736).

3464400 is an abundant number, since it is smaller than the sum of its proper divisors (7637072).

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

3464400 is a wasteful number, since it uses less digits than its factorization.

3464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3464400 is about 1861.2898753284. The cubic root of 3464400 is about 151.3129192040.

The spelling of 3464400 in words is "three million, four hundred sixty-four thousand, four hundred".