3971032965900 has 1944 divisors, whose sum is σ = 17491875854544. Its totient is φ = 740449382400.

The previous prime is 3971032965881. The next prime is 3971032965929. The reversal of 3971032965900 is 95692301793.

It is a happy number.

3971032965900 is a `hidden beast` number, since 3 + 9 + 7 + 10 + 32 + 9 + 6 + 590 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 36431495046 + ... + 36431495154.

It is an arithmetic number, because the mean of its divisors is an integer number (8997878526).

Almost surely, 2^{3971032965900} is an apocalyptic number.

3971032965900 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 3971032965900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8745937927272).

3971032965900 is an abundant number, since it is smaller than the sum of its proper divisors (13520842888644).

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

3971032965900 is a wasteful number, since it uses less digits than its factorization.

3971032965900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The spelling of 3971032965900 in words is "three trillion, nine hundred seventy-one billion, thirty-two million, nine hundred sixty-five thousand, nine hundred".