3115646602020 has 288 divisors, whose sum is σ = 9980876505600. Its totient is φ = 785153875968.

The previous prime is 3115646601941. The next prime is 3115646602021. The reversal of 3115646602020 is 202066465113.

3115646602020 is a `hidden beast` number, since 3 + 1 + 1 + 5 + 6 + 46 + 602 + 0 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3115646602021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159285001 + ... + 159304559.

It is an arithmetic number, because the mean of its divisors is an integer number (34655821200).

Almost surely, 2^{3115646602020} is an apocalyptic number.

3115646602020 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 3115646602020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4990438252800).

3115646602020 is an abundant number, since it is smaller than the sum of its proper divisors (6865229903580).

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

3115646602020 is a wasteful number, since it uses less digits than its factorization.

3115646602020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20059 (or 20054 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 3115646602020 in words is "three trillion, one hundred fifteen billion, six hundred forty-six million, six hundred two thousand, twenty".