34641264 has 40 divisors (see below), whose sum is σ = 102275200. Its totient is φ = 9897408.

The previous prime is 34641259. The next prime is 34641301. The reversal of 34641264 is 46214643.

It is a super-3 number, since 3×34641264³ (a number of 24 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 51214 + ... + 51885.

It is an arithmetic number, because the mean of its divisors is an integer number (2556880).

Almost surely, 2^34641264 is an apocalyptic number.

It is an amenable number.

34641264 is an abundant number, since it is smaller than the sum of its proper divisors (67633936).

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

34641264 is a wasteful number, since it uses less digits than its factorization.

34641264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103117 (or 103111 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 34641264 is about 5885.6829680165. The cubic root of 34641264 is about 325.9852202014.

The spelling of 34641264 in words is "thirty-four million, six hundred forty-one thousand, two hundred sixty-four".