34795832448 has 512 divisors, whose sum is σ = 108354355200. Its totient is φ = 9813934080.

The previous prime is 34795832443. The next prime is 34795832459. The reversal of 34795832448 is 84423859743.

It is not an unprimeable number, because it can be changed into a prime (34795832443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 337823565 + ... + 337823667.

It is an arithmetic number, because the mean of its divisors is an integer number (211629600).

Almost surely, 2^34795832448 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 34795832448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54177177600).

34795832448 is an abundant number, since it is smaller than the sum of its proper divisors (73558522752).

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

34795832448 is a wasteful number, since it uses less digits than its factorization.

34795832448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 248 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 57.

The spelling of 34795832448 in words is "thirty-four billion, seven hundred ninety-five million, eight hundred thirty-two thousand, four hundred forty-eight".