34022752512 has 216 divisors, whose sum is σ = 107907845472. Its totient is φ = 9483264000.

The previous prime is 34022752499. The next prime is 34022752549. The reversal of 34022752512 is 21525722043.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1531887 + ... + 1553937.

Almost surely, 2^34022752512 is an apocalyptic number.

34022752512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34022752512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53953922736).

34022752512 is an abundant number, since it is smaller than the sum of its proper divisors (73885092960).

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

34022752512 is a wasteful number, since it uses less digits than its factorization.

34022752512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22125 (or 22104 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

It can be divided in two parts, 3402 and 2752512, that multiplied together give a square (9364045824 = 96768²).

The spelling of 34022752512 in words is "thirty-four billion, twenty-two million, seven hundred fifty-two thousand, five hundred twelve".