34451664 has 120 divisors (see below), whose sum is σ = 100207872. Its totient is φ = 10183680.

The previous prime is 34451657. The next prime is 34451689. The reversal of 34451664 is 46615443.

It is a congruent number.

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, 251404 + ... + 251540.

Almost surely, 2^34451664 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 34451664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50103936).

34451664 is an abundant number, since it is smaller than the sum of its proper divisors (65756208).

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

34451664 is a wasteful number, since it uses less digits than its factorization.

34451664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 186 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 34451664 is about 5869.5539864627. The cubic root of 34451664 is about 325.3893999194.

The spelling of 34451664 in words is "thirty-four million, four hundred fifty-one thousand, six hundred sixty-four".