34112987553792 has 896 divisors, whose sum is σ = 118131233587200. Its totient is φ = 8527028944896.

The previous prime is 34112987553787. The next prime is 34112987553809. The reversal of 34112987553792 is 29735578921143.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2180153713 + ... + 2180169359.

Almost surely, 2^{34112987553792} is an apocalyptic number.

34112987553792 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 34112987553792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59065616793600).

34112987553792 is an abundant number, since it is smaller than the sum of its proper divisors (84018246033408).

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

34112987553792 is a wasteful number, since it uses less digits than its factorization.

34112987553792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15754 (or 15730 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 66.

The spelling of 34112987553792 in words is "thirty-four trillion, one hundred twelve billion, nine hundred eighty-seven million, five hundred fifty-three thousand, seven hundred ninety-two".