3105506340 has 72 divisors (see below), whose sum is σ = 9574496568. Its totient is φ = 814556160.

The previous prime is 3105506333. The next prime is 3105506377. The reversal of 3105506340 is 436055013.

3105506340 is a `hidden beast` number, since 3 + 10 + 550 + 63 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47858724 + 3057647616 = 6918^2 + 55296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130437 + ... + 152396.

It is an arithmetic number, because the mean of its divisors is an integer number (132979119).

Almost surely, 2^3105506340 is an apocalyptic number.

3105506340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3105506340 is an abundant number, since it is smaller than the sum of its proper divisors (6468990228).

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

3105506340 is a wasteful number, since it uses less digits than its factorization.

3105506340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282909 (or 282904 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 3105506340 is about 55727.0700826806. The cubic root of 3105506340 is about 1458.9625362461.

The spelling of 3105506340 in words is "three billion, one hundred five million, five hundred six thousand, three hundred forty".