34294896944 has 120 divisors (see below), whose sum is σ = 88759944000. Its totient is φ = 12658343040.

The previous prime is 34294896913. The next prime is 34294896947. The reversal of 34294896944 is 44969849243.

It is a super-2 number, since 2×34294896944² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34294896947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59207 + ... + 268505.

It is an arithmetic number, because the mean of its divisors is an integer number (739666200).

Almost surely, 2^34294896944 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 34294896944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44379972000).

34294896944 is an abundant number, since it is smaller than the sum of its proper divisors (54465047056).

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

34294896944 is a wasteful number, since it uses less digits than its factorization.

34294896944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209351 (or 209338 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 62.

The spelling of 34294896944 in words is "thirty-four billion, two hundred ninety-four million, eight hundred ninety-six thousand, nine hundred forty-four".