34705664 has 72 divisors (see below), whose sum is σ = 80353728. Its totient is φ = 14653440.

The previous prime is 34705661. The next prime is 34705669. The reversal of 34705664 is 46650743.

It is a super-2 number, since 2×34705664² = 2408966227361792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34705661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191654 + ... + 191834.

It is an arithmetic number, because the mean of its divisors is an integer number (1116024).

Almost surely, 2^34705664 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 34705664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40176864).

34705664 is an abundant number, since it is smaller than the sum of its proper divisors (45648064).

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

34705664 is a wasteful number, since it uses less digits than its factorization.

34705664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 34705664 is about 5891.1513305974. The cubic root of 34705664 is about 326.1871032531.

The spelling of 34705664 in words is "thirty-four million, seven hundred five thousand, six hundred sixty-four".