34389792 has 96 divisors (see below), whose sum is σ = 102332160. Its totient is φ = 11232000.

The previous prime is 34389779. The next prime is 34389799. The reversal of 34389792 is 29798343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (34389799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45417 + ... + 46167.

It is an arithmetic number, because the mean of its divisors is an integer number (1065960).

Almost surely, 2^34389792 is an apocalyptic number.

34389792 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 34389792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51166080).

34389792 is an abundant number, since it is smaller than the sum of its proper divisors (67942368).

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

34389792 is a wasteful number, since it uses less digits than its factorization.

34389792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 809 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 34389792 is about 5864.2810301008. The cubic root of 34389792 is about 325.1944934458.

The spelling of 34389792 in words is "thirty-four million, three hundred eighty-nine thousand, seven hundred ninety-two".