3146077863936 has 640 divisors, whose sum is σ = 11114316576000. Its totient is φ = 867734913024.

The previous prime is 3146077863919. The next prime is 3146077863959. The reversal of 3146077863936 is 6393687706413.

3146077863936 is a `hidden beast` number, since 3 + 1 + 460 + 7 + 7 + 86 + 3 + 93 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 538801305 + ... + 538807143.

It is an arithmetic number, because the mean of its divisors is an integer number (17366119650).

Almost surely, 2^{3146077863936} is an apocalyptic number.

3146077863936 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 3146077863936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557158288000).

3146077863936 is an abundant number, since it is smaller than the sum of its proper divisors (7968238712064).

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

3146077863936 is an frugal number, since it uses more digits than its factorization.

3146077863936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5917 (or 5880 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 3146077863936 in words is "three trillion, one hundred forty-six billion, seventy-seven million, eight hundred sixty-three thousand, nine hundred thirty-six".