3932997120 has 400 divisors, whose sum is σ = 15180747120. Its totient is φ = 967458816.

The previous prime is 3932997113. The next prime is 3932997137. The reversal of 3932997120 is 217992393.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2694951 + ... + 2696409.

Almost surely, 2^3932997120 is an apocalyptic number.

3932997120 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 3932997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7590373560).

3932997120 is an abundant number, since it is smaller than the sum of its proper divisors (11247750000).

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

3932997120 is a wasteful number, since it uses less digits than its factorization.

3932997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 3932997120 is about 62713.6119195825. The cubic root of 3932997120 is about 1578.4877267557.

The spelling of 3932997120 in words is "three billion, nine hundred thirty-two million, nine hundred ninety-seven thousand, one hundred twenty".