34931664 has 120 divisors (see below), whose sum is σ = 104457600. Its totient is φ = 10872576.

The previous prime is 34931657. The next prime is 34931707. The reversal of 34931664 is 46613943.

34931664 is a `hidden beast` number, since 3 + 493 + 166 + 4 = 666.

It is a super-2 number, since 2×34931664² = 2440442299617792, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 175437 + ... + 175635.

It is an arithmetic number, because the mean of its divisors is an integer number (870480).

Almost surely, 2^34931664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34931664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52228800).

34931664 is an abundant number, since it is smaller than the sum of its proper divisors (69525936).

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

34931664 is a wasteful number, since it uses less digits than its factorization.

34931664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 280 counting only the distinct ones).

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

The square root of 34931664 is about 5910.3015151513. The cubic root of 34931664 is about 326.8936050912.

The spelling of 34931664 in words is "thirty-four million, nine hundred thirty-one thousand, six hundred sixty-four".