34913664 has 48 divisors (see below), whose sum is σ = 100471020. Its totient is φ = 11637504.

The previous prime is 34913647. The next prime is 34913687. The reversal of 34913664 is 46631943.

It is a tau number, because it is divible by the number of its divisors (48).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14002 + ... + 16305.

Almost surely, 2^34913664 is an apocalyptic number.

It is an amenable number.

34913664 is an abundant number, since it is smaller than the sum of its proper divisors (65557356).

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

34913664 is a wasteful number, since it uses less digits than its factorization.

34913664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30327 (or 30312 counting only the distinct ones).

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

The square root of 34913664 is about 5908.7785539822. The cubic root of 34913664 is about 326.8374469129.

The spelling of 34913664 in words is "thirty-four million, nine hundred thirteen thousand, six hundred sixty-four".