3966072155136 has 2376 divisors, whose sum is σ = 16026066005040. Its totient is φ = 933060280320.

The previous prime is 3966072155057. The next prime is 3966072155137. The reversal of 3966072155136 is 6315512706693.

3966072155136 is a `hidden beast` number, since 3 + 9 + 6 + 60 + 7 + 21 + 551 + 3 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (3966072155137) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 107191139310 + ... + 107191139346.

Almost surely, 2^{3966072155136} is an apocalyptic number.

3966072155136 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 3966072155136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8013033002520).

3966072155136 is an abundant number, since it is smaller than the sum of its proper divisors (12059993849904).

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

3966072155136 is a wasteful number, since it uses less digits than its factorization.

3966072155136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 3966072155136 in words is "three trillion, nine hundred sixty-six billion, seventy-two million, one hundred fifty-five thousand, one hundred thirty-six".