3115933424640 has 528 divisors, whose sum is σ = 11529366900480. Its totient is φ = 776373534720.

The previous prime is 3115933424567. The next prime is 3115933424699. The reversal of 3115933424640 is 464243395113.

3115933424640 is a `hidden beast` number, since 3 + 1 + 1 + 593 + 34 + 24 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×3115933424640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41388312 + ... + 41463528.

It is an arithmetic number, because the mean of its divisors is an integer number (21835922160).

Almost surely, 2^{3115933424640} is an apocalyptic number.

3115933424640 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 3115933424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5764683450240).

3115933424640 is an abundant number, since it is smaller than the sum of its proper divisors (8413433475840).

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

3115933424640 is a wasteful number, since it uses less digits than its factorization.

3115933424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75308 (or 75287 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 3115933424640 in words is "three trillion, one hundred fifteen billion, nine hundred thirty-three million, four hundred twenty-four thousand, six hundred forty".