34381792 has 48 divisors (see below), whose sum is σ = 71865360. Its totient is φ = 16146432.

The previous prime is 34381777. The next prime is 34381799. The reversal of 34381792 is 29718343.

It is a super-2 number, since 2×34381792² = 2364215242262528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34381799) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117198 + ... + 117490.

It is an arithmetic number, because the mean of its divisors is an integer number (1497195).

Almost surely, 2^34381792 is an apocalyptic number.

34381792 is a gapful number since it is divisible by the number (32) 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 34381792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35932680).

34381792 is an abundant number, since it is smaller than the sum of its proper divisors (37483568).

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

34381792 is a wasteful number, since it uses less digits than its factorization.

34381792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 507 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 34381792 is about 5863.5988948768. The cubic root of 34381792 is about 325.1692751319.

The spelling of 34381792 in words is "thirty-four million, three hundred eighty-one thousand, seven hundred ninety-two".