34639872 has 52 divisors (see below), whose sum is σ = 92394480. Its totient is φ = 11542528.

The previous prime is 34639849. The next prime is 34639883. The reversal of 34639872 is 27893643.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10879 + ... + 13697.

Almost surely, 2^34639872 is an apocalyptic number.

34639872 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 34639872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46197240).

34639872 is an abundant number, since it is smaller than the sum of its proper divisors (57754608).

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

34639872 is an equidigital number, since it uses as much as digits as its factorization.

34639872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846 (or 2824 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 34639872 is about 5885.5647137722. The cubic root of 34639872 is about 325.9808537565.

It can be divided in two parts, 34639 and 872, that added together give a triangular number (35511 = T₂₆₆).

The spelling of 34639872 in words is "thirty-four million, six hundred thirty-nine thousand, eight hundred seventy-two".