3134107080 has 384 divisors, whose sum is σ = 12053059200. Its totient is φ = 725594112.

The previous prime is 3134107079. The next prime is 3134107103. The reversal of 3134107080 is 807014313.

It is a super-2 number, since 2×3134107080² = 19645254377812252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2147391 + ... + 2148849.

It is an arithmetic number, because the mean of its divisors is an integer number (31388175).

Almost surely, 2^3134107080 is an apocalyptic number.

3134107080 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 3134107080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026529600).

3134107080 is an abundant number, since it is smaller than the sum of its proper divisors (8918952120).

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

3134107080 is a wasteful number, since it uses less digits than its factorization.

3134107080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3134107080 is about 55983.0963773888. The cubic root of 3134107080 is about 1463.4277190806.

The spelling of 3134107080 in words is "three billion, one hundred thirty-four million, one hundred seven thousand, eighty".