3971115232200 has 144 divisors (see below), whose sum is σ = 13535378747280. Its totient is φ = 1043158596480.

The previous prime is 3971115232081. The next prime is 3971115232229. The reversal of 3971115232200 is 22325111793.

It is a happy number.

3971115232200 is a `hidden beast` number, since 39 + 71 + 11 + 523 + 2 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16343394 + ... + 16584593.

It is an arithmetic number, because the mean of its divisors is an integer number (93995685745).

Almost surely, 2^{3971115232200} is an apocalyptic number.

3971115232200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3971115232200 is an abundant number, since it is smaller than the sum of its proper divisors (9564263515080).

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

3971115232200 is a wasteful number, since it uses less digits than its factorization.

3971115232200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32928076 (or 32928064 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 3971115232200 in words is "three trillion, nine hundred seventy-one billion, one hundred fifteen million, two hundred thirty-two thousand, two hundred".