34081792 has 44 divisors (see below), whose sum is σ = 69123096. Its totient is φ = 16793600.

The previous prime is 34081781. The next prime is 34081799. The reversal of 34081792 is 29718043.

It is not an unprimeable number, because it can be changed into a prime (34081799) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 84792 + ... + 85192.

Almost surely, 2^34081792 is an apocalyptic number.

34081792 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 34081792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34561548).

34081792 is an abundant number, since it is smaller than the sum of its proper divisors (35041304).

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

34081792 is an equidigital number, since it uses as much as digits as its factorization.

34081792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 34081792 is about 5837.9612879840. The cubic root of 34081792 is about 324.2207508471.

The spelling of 34081792 in words is "thirty-four million, eighty-one thousand, seven hundred ninety-two".