34411664 has 40 divisors (see below), whose sum is σ = 76899840. Its totient is φ = 14611968.

The previous prime is 34411651. The next prime is 34411673. The reversal of 34411664 is 46611443.

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, 11297 + ... + 14015.

It is an arithmetic number, because the mean of its divisors is an integer number (1922496).

Almost surely, 2^34411664 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 34411664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38449920).

34411664 is an abundant number, since it is smaller than the sum of its proper divisors (42488176).

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

34411664 is a wasteful number, since it uses less digits than its factorization.

34411664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847 (or 2841 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 34411664 is about 5866.1455829190. The cubic root of 34411664 is about 325.2634203588.

The spelling of 34411664 in words is "thirty-four million, four hundred eleven thousand, six hundred sixty-four".