34100512352 has 96 divisors (see below), whose sum is σ = 72488908800. Its totient is φ = 15739895808.

The previous prime is 34100512289. The next prime is 34100512367. The reversal of 34100512352 is 25321500143.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6827168 + ... + 6832160.

It is an arithmetic number, because the mean of its divisors is an integer number (755092800).

Almost surely, 2^34100512352 is an apocalyptic number.

34100512352 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 34100512352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36244454400).

34100512352 is an abundant number, since it is smaller than the sum of its proper divisors (38388396448).

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

34100512352 is a wasteful number, since it uses less digits than its factorization.

34100512352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5308 (or 5300 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 34100512352 in words is "thirty-four billion, one hundred million, five hundred twelve thousand, three hundred fifty-two".