3971920167936 has 1320 divisors, whose sum is σ = 14435874050136. Its totient is φ = 1083553873920.

The previous prime is 3971920167871. The next prime is 3971920167949. The reversal of 3971920167936 is 6397610291793.

3971920167936 is a `hidden beast` number, since 397 + 1 + 9 + 201 + 6 + 7 + 9 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36679910400 + 3935240257536 = 191520^2 + 1983744^2 .

It is a super-2 number, since 2×3971920167936² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9173025576 + ... + 9173026008.

Almost surely, 2^{3971920167936} is an apocalyptic number.

3971920167936 is a gapful number since it is divisible by the number (36) 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 3971920167936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7217937025068).

3971920167936 is an abundant number, since it is smaller than the sum of its proper divisors (10463953882200).

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

3971920167936 is a wasteful number, since it uses less digits than its factorization.

3971920167936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 23147208, while the sum is 63.

The spelling of 3971920167936 in words is "three trillion, nine hundred seventy-one billion, nine hundred twenty million, one hundred sixty-seven thousand, nine hundred thirty-six".