3882720 has 48 divisors (see below), whose sum is σ = 12232080. Its totient is φ = 1035264.

The previous prime is 3882713. The next prime is 3882721. The reversal of 3882720 is 272883.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3882721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3565 + ... + 4524.

It is an arithmetic number, because the mean of its divisors is an integer number (254835).

Almost surely, 2^3882720 is an apocalyptic number.

3882720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3882720 is an abundant number, since it is smaller than the sum of its proper divisors (8349360).

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

3882720 is a wasteful number, since it uses less digits than its factorization.

3882720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8107 (or 8099 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 3882720 is about 1970.4618747898. The cubic root of 3882720 is about 157.1732707761.

The spelling of 3882720 in words is "three million, eight hundred eighty-two thousand, seven hundred twenty".