34992940096 has 63 divisors (see below), whose sum is σ = 70693547589. Its totient is φ = 17185943808.

The previous prime is 34992940093. The next prime is 34992940123. The reversal of 34992940096 is 69004929943.

The square root of 34992940096 is 187064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 25684549696 + 9308390400 = 160264^2 + 96480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34992940093) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 100266130 + ... + 100266478.

It is an arithmetic number, because the mean of its divisors is an integer number (1122119803).

Almost surely, 2^34992940096 is an apocalyptic number.

34992940096 is the 187064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34992940096

34992940096 is an abundant number, since it is smaller than the sum of its proper divisors (35700607493).

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

34992940096 is an frugal number, since it uses more digits than its factorization.

34992940096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 55.

The spelling of 34992940096 in words is "thirty-four billion, nine hundred ninety-two million, nine hundred forty thousand, ninety-six".