34424832 has 96 divisors (see below), whose sum is σ = 99066240. Its totient is φ = 10567680.

The previous prime is 34424807. The next prime is 34424851. The reversal of 34424832 is 23842443.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34424832.

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, 79657 + ... + 80087.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^34424832 is an apocalyptic number.

34424832 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 34424832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120).

34424832 is an abundant number, since it is smaller than the sum of its proper divisors (64641408).

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

34424832 is a wasteful number, since it uses less digits than its factorization.

34424832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 449 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 34424832 is about 5867.2678479851. The cubic root of 34424832 is about 325.3049036043.

The spelling of 34424832 in words is "thirty-four million, four hundred twenty-four thousand, eight hundred thirty-two".