34434688 has 32 divisors (see below), whose sum is σ = 72216000. Its totient is φ = 16310016.

The previous prime is 34434671. The next prime is 34434689. The reversal of 34434688 is 88643443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 34434688.

It is not an unprimeable number, because it can be changed into a prime (34434689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4648 + ... + 9511.

It is an arithmetic number, because the mean of its divisors is an integer number (2256750).

Almost surely, 2^34434688 is an apocalyptic number.

34434688 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

34434688 is an abundant number, since it is smaller than the sum of its proper divisors (37781312).

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

34434688 is a wasteful number, since it uses less digits than its factorization.

34434688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14192 (or 14180 counting only the distinct ones).

The product of its digits is 221184, while the sum is 40.

The square root of 34434688 is about 5868.1077018064. The cubic root of 34434688 is about 325.3359461106.

The spelling of 34434688 in words is "thirty-four million, four hundred thirty-four thousand, six hundred eighty-eight".