3931996800 has 192 divisors, whose sum is σ = 13633279200. Its totient is φ = 993300480.

The previous prime is 3931996787. The next prime is 3931996823. The reversal of 3931996800 is 86991393.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3931996800.

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 23 ways as a sum of consecutive naturals, for example, 171622 + ... + 193178.

Almost surely, 2^3931996800 is an apocalyptic number.

3931996800 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 3931996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6816639600).

3931996800 is an abundant number, since it is smaller than the sum of its proper divisors (9701282400).

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

3931996800 is a wasteful number, since it uses less digits than its factorization.

3931996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21603 (or 21586 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 48.

The square root of 3931996800 is about 62705.6361103211. The cubic root of 3931996800 is about 1578.3538910167.

The spelling of 3931996800 in words is "three billion, nine hundred thirty-one million, nine hundred ninety-six thousand, eight hundred".