34692874944 has 336 divisors, whose sum is σ = 115466335488. Its totient is φ = 9138705408.

The previous prime is 34692874943. The next prime is 34692874961. The reversal of 34692874944 is 44947829643.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34692874943) 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, 41949859 + ... + 41950685.

It is an arithmetic number, because the mean of its divisors is an integer number (343649808).

Almost surely, 2^34692874944 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 34692874944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57733167744).

34692874944 is an abundant number, since it is smaller than the sum of its proper divisors (80773460544).

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

34692874944 is an frugal number, since it uses more digits than its factorization.

34692874944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 852 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 60.

The spelling of 34692874944 in words is "thirty-four billion, six hundred ninety-two million, eight hundred seventy-four thousand, nine hundred forty-four".