3951231981696 has 1024 divisors, whose sum is σ = 13401096192000. Its totient is φ = 1138400428032.

The previous prime is 3951231981659. The next prime is 3951231981703. The reversal of 3951231981696 is 6961891321593.

3951231981696 is a `hidden beast` number, since 3 + 9 + 512 + 3 + 19 + 8 + 16 + 96 = 666.

It is a super-2 number, since 2×3951231981696² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6663122776 + ... + 6663123368.

It is an arithmetic number, because the mean of its divisors is an integer number (13087008000).

Almost surely, 2^{3951231981696} is an apocalyptic number.

3951231981696 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 3951231981696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6700548096000).

3951231981696 is an abundant number, since it is smaller than the sum of its proper divisors (9449864210304).

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

3951231981696 is a wasteful number, since it uses less digits than its factorization.

3951231981696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 808 counting only the distinct ones).

The product of its digits is 18895680, while the sum is 63.

The spelling of 3951231981696 in words is "three trillion, nine hundred fifty-one billion, two hundred thirty-one million, nine hundred eighty-one thousand, six hundred ninety-six".