3107998232064 has 600 divisors, whose sum is σ = 10223407305144. Its totient is φ = 932273971200.

The previous prime is 3107998232063. The next prime is 3107998232071. The reversal of 3107998232064 is 4602328997013.

3107998232064 is a `hidden beast` number, since 310 + 7 + 9 + 98 + 232 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3107998232064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3107998232063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7828710714 + ... + 7828711110.

Almost surely, 2^{3107998232064} 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 3107998232064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5111703652572).

3107998232064 is an abundant number, since it is smaller than the sum of its proper divisors (7115409073080).

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

3107998232064 is an equidigital number, since it uses as much as digits as its factorization.

3107998232064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 3107998232064 in words is "three trillion, one hundred seven billion, nine hundred ninety-eight million, two hundred thirty-two thousand, sixty-four".