34131792 has 40 divisors (see below), whose sum is σ = 89299840. Its totient is φ = 11232000.

The previous prime is 34131787. The next prime is 34131827. The reversal of 34131792 is 29713143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 709 + ... + 8292.

It is an arithmetic number, because the mean of its divisors is an integer number (2232496).

Almost surely, 2^34131792 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 34131792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44649920).

34131792 is an abundant number, since it is smaller than the sum of its proper divisors (55168048).

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

34131792 is a wasteful number, since it uses less digits than its factorization.

34131792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9091 (or 9085 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 34131792 is about 5842.2420353833. The cubic root of 34131792 is about 324.3792237005.

The spelling of 34131792 in words is "thirty-four million, one hundred thirty-one thousand, seven hundred ninety-two".