34438332544 has 64 divisors (see below), whose sum is σ = 85536792000. Its totient is φ = 13417528320.

The previous prime is 34438332517. The next prime is 34438332557. The reversal of 34438332544 is 44523383443.

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 2×34438332544² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34438332544.

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, 1737219 + ... + 1756930.

It is an arithmetic number, because the mean of its divisors is an integer number (1336512375).

Almost surely, 2^34438332544 is an apocalyptic number.

It is an amenable number.

34438332544 is an abundant number, since it is smaller than the sum of its proper divisors (51098459456).

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

34438332544 is a wasteful number, since it uses less digits than its factorization.

34438332544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494181 (or 3494169 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 43.

The spelling of 34438332544 in words is "thirty-four billion, four hundred thirty-eight million, three hundred thirty-two thousand, five hundred forty-four".