3115904241600 has 1008 divisors, whose sum is σ = 12227245718688. Its totient is φ = 777736028160.

The previous prime is 3115904241529. The next prime is 3115904241601. The reversal of 3115904241600 is 61424095113.

It is a happy number.

3115904241600 is a `hidden beast` number, since 3 + 1 + 1 + 5 + 9 + 0 + 4 + 2 + 41 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3115904241601) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1302090004 + ... + 1302092396.

It is an arithmetic number, because the mean of its divisors is an integer number (12130204086).

Almost surely, 2^{3115904241600} is an apocalyptic number.

3115904241600 is a gapful number since it is divisible by the number (30) 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 3115904241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6113622859344).

3115904241600 is an abundant number, since it is smaller than the sum of its proper divisors (9111341477088).

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

3115904241600 is a wasteful number, since it uses less digits than its factorization.

3115904241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 3115904241600 in words is "three trillion, one hundred fifteen billion, nine hundred four million, two hundred forty-one thousand, six hundred".