34431326460 has 72 divisors (see below), whose sum is σ = 105912739296. Its totient is φ = 9052364160.

The previous prime is 34431326437. The next prime is 34431326471. The reversal of 34431326460 is 6462313443.

34431326460 is a `hidden beast` number, since 3 + 4 + 4 + 3 + 1 + 3 + 2 + 646 + 0 = 666.

It is a super-2 number, since 2×34431326460² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1334299 + ... + 1359858.

It is an arithmetic number, because the mean of its divisors is an integer number (1471010268).

Almost surely, 2^34431326460 is an apocalyptic number.

34431326460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34431326460 is an abundant number, since it is smaller than the sum of its proper divisors (71481412836).

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

34431326460 is a wasteful number, since it uses less digits than its factorization.

34431326460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694243 (or 2694238 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 34431326460 in words is "thirty-four billion, four hundred thirty-one million, three hundred twenty-six thousand, four hundred sixty".