34856664 has 64 divisors (see below), whose sum is σ = 94802400. Its totient is φ = 10635264.

The previous prime is 34856651. The next prime is 34856677. The reversal of 34856664 is 46665843.

It is an interprime number because it is at equal distance from previous prime (34856651) and next prime (34856677).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13942 + ... + 16250.

Almost surely, 2^34856664 is an apocalyptic number.

34856664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34856664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47401200).

34856664 is an abundant number, since it is smaller than the sum of its proper divisors (59945736).

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

34856664 is a wasteful number, since it uses less digits than its factorization.

34856664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2368 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 34856664 is about 5903.9532518474. The cubic root of 34856664 is about 326.6594852417.

The spelling of 34856664 in words is "thirty-four million, eight hundred fifty-six thousand, six hundred sixty-four".