34607664 has 240 divisors, whose sum is σ = 126380800. Its totient is φ = 8584704.

The previous prime is 34607653. The next prime is 34607717. The reversal of 34607664 is 46670643.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248907 + ... + 249045.

Almost surely, 2^34607664 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 34607664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63190400).

34607664 is an abundant number, since it is smaller than the sum of its proper divisors (91773136).

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

34607664 is a wasteful number, since it uses less digits than its factorization.

34607664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 34607664 is about 5882.8278914141. The cubic root of 34607664 is about 325.8797905747.

The spelling of 34607664 in words is "thirty-four million, six hundred seven thousand, six hundred sixty-four".