3936240732160 has 768 divisors, whose sum is σ = 11451915820800. Its totient is φ = 1281569587200.

The previous prime is 3936240732121. The next prime is 3936240732191. The reversal of 3936240732160 is 612370426393.

It is a super-2 number, since 2×3936240732160² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3936240732160.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4053800475 + ... + 4053801445.

It is an arithmetic number, because the mean of its divisors is an integer number (14911348725).

Almost surely, 2^{3936240732160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3936240732160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725957910400).

3936240732160 is an abundant number, since it is smaller than the sum of its proper divisors (7515675088640).

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

3936240732160 is a wasteful number, since it uses less digits than its factorization.

3936240732160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 46.

The spelling of 3936240732160 in words is "three trillion, nine hundred thirty-six billion, two hundred forty million, seven hundred thirty-two thousand, one hundred sixty".