34453577256 has 128 divisors (see below), whose sum is σ = 99225768960. Its totient is φ = 9765504000.

The previous prime is 34453577177. The next prime is 34453577261. The reversal of 34453577256 is 65277535443.

It is a happy number.

Its product of digits (10584000) is a multiple of the sum of its prime factors (3375).

It is a junction number, because it is equal to n+sod(n) for n = 34453577199 and 34453577208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12299056 + ... + 12301856.

It is an arithmetic number, because the mean of its divisors is an integer number (775201320).

Almost surely, 2^34453577256 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 34453577256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49612884480).

34453577256 is an abundant number, since it is smaller than the sum of its proper divisors (64772191704).

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

34453577256 is a wasteful number, since it uses less digits than its factorization.

34453577256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375 (or 3371 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 51.

The spelling of 34453577256 in words is "thirty-four billion, four hundred fifty-three million, five hundred seventy-seven thousand, two hundred fifty-six".