3013875600 has 120 divisors (see below), whose sum is σ = 10222426080. Its totient is φ = 756418560.

The previous prime is 3013875577. The next prime is 3013875607. The reversal of 3013875600 is 65783103.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3013875600² = 18166892264550720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3013875607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53470 + ... + 94269.

It is an arithmetic number, because the mean of its divisors is an integer number (85186884).

Almost surely, 2^3013875600 is an apocalyptic number.

3013875600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3013875600 is an abundant number, since it is smaller than the sum of its proper divisors (7208550480).

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

3013875600 is a wasteful number, since it uses less digits than its factorization.

3013875600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147777 (or 147766 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 3013875600 is about 54898.7759426383. The cubic root of 3013875600 is about 1444.4697151836.

The spelling of 3013875600 in words is "three billion, thirteen million, eight hundred seventy-five thousand, six hundred".