34318759552 has 192 divisors, whose sum is σ = 87500234880. Its totient is φ = 13367692800.

The previous prime is 34318759511. The next prime is 34318759621. The reversal of 34318759552 is 25595781343.

It is a self number, because there is not a number n which added to its sum of digits gives 34318759552.

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, 8345977 + ... + 8350087.

It is an arithmetic number, because the mean of its divisors is an integer number (455730390).

Almost surely, 2^34318759552 is an apocalyptic number.

34318759552 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 34318759552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43750117440).

34318759552 is an abundant number, since it is smaller than the sum of its proper divisors (53181475328).

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

34318759552 is an equidigital number, since it uses as much as digits as its factorization.

34318759552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172 (or 4131 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 52.

The spelling of 34318759552 in words is "thirty-four billion, three hundred eighteen million, seven hundred fifty-nine thousand, five hundred fifty-two".