34240797756 has 144 divisors (see below), whose sum is σ = 98857100160. Its totient is φ = 9897229440.

The previous prime is 34240797749. The next prime is 34240797757. The reversal of 34240797756 is 65779704243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34240797757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 935211 + ... + 971133.

It is an arithmetic number, because the mean of its divisors is an integer number (686507640).

Almost surely, 2^34240797756 is an apocalyptic number.

34240797756 is a gapful number since it is divisible by the number (36) 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 34240797756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49428550080).

34240797756 is an abundant number, since it is smaller than the sum of its proper divisors (64616302404).

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

34240797756 is a wasteful number, since it uses less digits than its factorization.

34240797756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36056 (or 36051 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 34240797756 in words is "thirty-four billion, two hundred forty million, seven hundred ninety-seven thousand, seven hundred fifty-six".