34434432 has 96 divisors (see below), whose sum is σ = 100722960. Its totient is φ = 11289600.

The previous prime is 34434391. The next prime is 34434451. The reversal of 34434432 is 23443443.

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.

Its product of digits (13824) is a multiple of the sum of its prime factors (512).

It is a junction number, because it is equal to n+sod(n) for n = 34434396 and 34434405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81582 + ... + 82002.

Almost surely, 2^34434432 is an apocalyptic number.

34434432 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 34434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50361480).

34434432 is an abundant number, since it is smaller than the sum of its proper divisors (66288528).

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

34434432 is a wasteful number, since it uses less digits than its factorization.

34434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 497 counting only the distinct ones).

The product of its digits is 13824, while the sum is 27.

The square root of 34434432 is about 5868.0858889420. The cubic root of 34434432 is about 325.3351398867.

Adding to 34434432 its reverse (23443443), we get a palindrome (57877875).

It can be divided in two parts, 3443443 and 2, that multiplied together give a palindrome (6886886).

The spelling of 34434432 in words is "thirty-four million, four hundred thirty-four thousand, four hundred thirty-two".