34351001056 has 96 divisors (see below), whose sum is σ = 72521568000. Its totient is φ = 15969457152.

The previous prime is 34351001053. The next prime is 34351001071. The reversal of 34351001056 is 65010015343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34351001053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7519285 + ... + 7523851.

It is an arithmetic number, because the mean of its divisors is an integer number (755433000).

Almost surely, 2^34351001056 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 34351001056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36260784000).

34351001056 is an abundant number, since it is smaller than the sum of its proper divisors (38170566944).

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

34351001056 is a wasteful number, since it uses less digits than its factorization.

34351001056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4824 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 34351001056 its reverse (65010015343), we get a palindrome (99361016399).

The spelling of 34351001056 in words is "thirty-four billion, three hundred fifty-one million, one thousand, fifty-six".