3936391151616 has 1440 divisors, whose sum is σ = 15192647608320. Its totient is φ = 951268147200.

The previous prime is 3936391151573. The next prime is 3936391151633. The reversal of 3936391151616 is 6161511936393.

It is a happy number.

3936391151616 is a `hidden beast` number, since 3 + 9 + 3 + 6 + 3 + 9 + 1 + 15 + 1 + 616 = 666.

It is a super-2 number, since 2×3936391151616² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15316696960 + ... + 15316697216.

It is an arithmetic number, because the mean of its divisors is an integer number (10550449728).

Almost surely, 2^{3936391151616} is an apocalyptic number.

3936391151616 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 3936391151616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7596323804160).

3936391151616 is an abundant number, since it is smaller than the sum of its proper divisors (11256256456704).

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

3936391151616 is a wasteful number, since it uses less digits than its factorization.

3936391151616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 370 counting only the distinct ones).

The product of its digits is 2361960, while the sum is 54.

The spelling of 3936391151616 in words is "three trillion, nine hundred thirty-six billion, three hundred ninety-one million, one hundred fifty-one thousand, six hundred sixteen".