3932880 has 80 divisors (see below), whose sum is σ = 13939584. Its totient is φ = 898560.

The previous prime is 3932869. The next prime is 3932897. The reversal of 3932880 is 882393.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510 + ... + 2850.

Almost surely, 2^3932880 is an apocalyptic number.

3932880 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 3932880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6969792).

3932880 is an abundant number, since it is smaller than the sum of its proper divisors (10006704).

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

3932880 is a wasteful number, since it uses less digits than its factorization.

3932880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3932880 is about 1983.1490110428. The cubic root of 3932880 is about 157.8472058101.

The spelling of 3932880 in words is "three million, nine hundred thirty-two thousand, eight hundred eighty".