34457268872 has 128 divisors (see below), whose sum is σ = 72523261440. Its totient is φ = 15246213120.

The previous prime is 34457268841. The next prime is 34457268883. The reversal of 34457268872 is 27886275443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93888833 + ... + 93889199.

It is an arithmetic number, because the mean of its divisors is an integer number (566587980).

Almost surely, 2^34457268872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34457268872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36261630720).

34457268872 is an abundant number, since it is smaller than the sum of its proper divisors (38065992568).

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

34457268872 is a wasteful number, since it uses less digits than its factorization.

34457268872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 747 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 56.

The spelling of 34457268872 in words is "thirty-four billion, four hundred fifty-seven million, two hundred sixty-eight thousand, eight hundred seventy-two".