34747664 has 120 divisors (see below), whose sum is σ = 85494528. Its totient is φ = 13601280.

The previous prime is 34747649. The next prime is 34747679. The reversal of 34747664 is 46674743.

It is an interprime number because it is at equal distance from previous prime (34747649) and next prime (34747679).

It is a Harshad number since it is a multiple of its sum of digits (41).

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, 739289 + ... + 739335.

Almost surely, 2^34747664 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 34747664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42747264).

34747664 is an abundant number, since it is smaller than the sum of its proper divisors (50746864).

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

34747664 is a wasteful number, since it uses less digits than its factorization.

34747664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 120 counting only the distinct ones).

The product of its digits is 338688, while the sum is 41.

The square root of 34747664 is about 5894.7149210119. The cubic root of 34747664 is about 326.3186315980.

The spelling of 34747664 in words is "thirty-four million, seven hundred forty-seven thousand, six hundred sixty-four".