34522511424 has 112 divisors (see below), whose sum is σ = 91850016960. Its totient is φ = 11443578880.

The previous prime is 34522511407. The next prime is 34522511461. The reversal of 34522511424 is 42411522543.

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 15 ways as a sum of consecutive naturals, for example, 42048934 + ... + 42049754.

Almost surely, 2^34522511424 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 34522511424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45925008480).

34522511424 is an abundant number, since it is smaller than the sum of its proper divisors (57327505536).

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

34522511424 is a wasteful number, since it uses less digits than its factorization.

34522511424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1778 counting only the distinct ones).

The product of its digits is 38400, while the sum is 33.

The spelling of 34522511424 in words is "thirty-four billion, five hundred twenty-two million, five hundred eleven thousand, four hundred twenty-four".