3134340371520 has 336 divisors, whose sum is σ = 11135835130368. Its totient is φ = 808335728640.

The previous prime is 3134340371507. The next prime is 3134340371563. The reversal of 3134340371520 is 251730434313.

3134340371520 is a `hidden beast` number, since 3 + 1 + 34 + 34 + 0 + 3 + 71 + 520 = 666.

It is a super-2 number, since 2×3134340371520² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147926367 + ... + 147947553.

Almost surely, 2^{3134340371520} is an apocalyptic number.

3134340371520 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 3134340371520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567917565184).

3134340371520 is an abundant number, since it is smaller than the sum of its proper divisors (8001494758848).

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

3134340371520 is a wasteful number, since it uses less digits than its factorization.

3134340371520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22898 (or 22885 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 3134340371520 in words is "three trillion, one hundred thirty-four billion, three hundred forty million, three hundred seventy-one thousand, five hundred twenty".