34790432 has 48 divisors (see below), whose sum is σ = 74898432. Its totient is φ = 15836160.

The previous prime is 34790389. The next prime is 34790443. The reversal of 34790432 is 23409743.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 15833 + ... + 17895.

It is an arithmetic number, because the mean of its divisors is an integer number (1560384).

Almost surely, 2^34790432 is an apocalyptic number.

34790432 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 34790432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37449216).

34790432 is an abundant number, since it is smaller than the sum of its proper divisors (40108000).

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

34790432 is a wasteful number, since it uses less digits than its factorization.

34790432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 34790432 is about 5898.3414618009. The cubic root of 34790432 is about 326.4524561662.

The spelling of 34790432 in words is "thirty-four million, seven hundred ninety thousand, four hundred thirty-two".