3105355140 has 72 divisors (see below), whose sum is σ = 9428124888. Its totient is φ = 827343360.

The previous prime is 3105355093. The next prime is 3105355151. The reversal of 3105355140 is 415535013.

3105355140 is a `hidden beast` number, since 3 + 105 + 3 + 551 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7096896 + 3098258244 = 2664^2 + 55662^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207510 + ... + 221970.

It is an arithmetic number, because the mean of its divisors is an integer number (130946179).

Almost surely, 2^3105355140 is an apocalyptic number.

3105355140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3105355140 is an abundant number, since it is smaller than the sum of its proper divisors (6322769748).

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

3105355140 is a wasteful number, since it uses less digits than its factorization.

3105355140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15669 (or 15664 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 3105355140 is about 55725.7134543830. The cubic root of 3105355140 is about 1458.9388580123.

The spelling of 3105355140 in words is "three billion, one hundred five million, three hundred fifty-five thousand, one hundred forty".