34855251264 has 448 divisors, whose sum is σ = 111171532800. Its totient is φ = 10816727040.

The previous prime is 34855251259. The next prime is 34855251311. The reversal of 34855251264 is 46215255843.

34855251264 is a `hidden beast` number, since 3 + 4 + 85 + 52 + 512 + 6 + 4 = 666.

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, 125831094 + ... + 125831370.

Almost surely, 2^34855251264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34855251264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55585766400).

34855251264 is an abundant number, since it is smaller than the sum of its proper divisors (76316281536).

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

34855251264 is an equidigital number, since it uses as much as digits as its factorization.

34855251264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 342 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The spelling of 34855251264 in words is "thirty-four billion, eight hundred fifty-five million, two hundred fifty-one thousand, two hundred sixty-four".