34356745626752 has 192 divisors, whose sum is σ = 71365597015680. Its totient is φ = 16473845606400.

The previous prime is 34356745626737. The next prime is 34356745626769. The reversal of 34356745626752 is 25762654765343.

It is a super-2 number, since 2×34356745626752² (a number of 28 digits) contains 22 as substring.

Its product of digits (762048000) is a multiple of the sum of its prime divisors (3200).

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, 17773793978 + ... + 17773795910.

It is an arithmetic number, because the mean of its divisors is an integer number (371695817790).

Almost surely, 2^{34356745626752} is an apocalyptic number.

34356745626752 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 34356745626752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35682798507840).

34356745626752 is an abundant number, since it is smaller than the sum of its proper divisors (37008851388928).

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

34356745626752 is a wasteful number, since it uses less digits than its factorization.

34356745626752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3243 (or 3200 counting only the distinct ones).

The product of its digits is 762048000, while the sum is 65.

The spelling of 34356745626752 in words is "thirty-four trillion, three hundred fifty-six billion, seven hundred forty-five million, six hundred twenty-six thousand, seven hundred fifty-two".