3134564724352 has 64 divisors (see below), whose sum is σ = 6619171435200. Its totient is φ = 1473483239424.

The previous prime is 3134564724341. The next prime is 3134564724373. The reversal of 3134564724352 is 2534274654313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3134564724352² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3134564724296 and 3134564724305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1216003 + ... + 2783485.

It is an arithmetic number, because the mean of its divisors is an integer number (103424553675).

Almost surely, 2^{3134564724352} is an apocalyptic number.

3134564724352 is a gapful number since it is divisible by the number (32) 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 3134564724352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309585717600).

3134564724352 is an abundant number, since it is smaller than the sum of its proper divisors (3484606710848).

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

3134564724352 is a wasteful number, since it uses less digits than its factorization.

3134564724352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568433 (or 1568421 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 49.

The spelling of 3134564724352 in words is "three trillion, one hundred thirty-four billion, five hundred sixty-four million, seven hundred twenty-four thousand, three hundred fifty-two".