34816574464 has 231 divisors, whose sum is σ = 86256279253. Its totient is φ = 14043660288.

The previous prime is 34816574449. The next prime is 34816574473. The reversal of 34816574464 is 46447561843.

The square root of 34816574464 is 186592.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 27106329600 + 7710244864 = 164640^2 + 87808^2 .

It is a Duffinian number.

Its product of digits (7741440) is a multiple of the sum of its prime factors (96).

34816574464 is a modest number, since divided by 574464 gives 34816 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2048033784 + ... + 2048033800.

Almost surely, 2^34816574464 is an apocalyptic number.

34816574464 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34816574464 is the 186592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34816574464

34816574464 is an abundant number, since it is smaller than the sum of its proper divisors (51439704789).

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

34816574464 is an frugal number, since it uses more digits than its factorization.

34816574464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 26 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 52.

The spelling of 34816574464 in words is "thirty-four billion, eight hundred sixteen million, five hundred seventy-four thousand, four hundred sixty-four".