34416936 has 48 divisors (see below), whose sum is σ = 93611700. Its totient is φ = 11423232.

The previous prime is 34416929. The next prime is 34416953. The reversal of 34416936 is 63961443.

It can be written as a sum of positive squares in 2 ways, for example, as 32148900 + 2268036 = 5670^2 + 1506^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 34416936.

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, 18480 + ... + 20256.

Almost surely, 2^34416936 is an apocalyptic number.

34416936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34416936 is an abundant number, since it is smaller than the sum of its proper divisors (59194764).

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

34416936 is a wasteful number, since it uses less digits than its factorization.

34416936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2051 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 34416936 is about 5866.5949238038. The cubic root of 34416936 is about 325.2800300485.

The spelling of 34416936 in words is "thirty-four million, four hundred sixteen thousand, nine hundred thirty-six".