3407664 has 80 divisors (see below), whose sum is σ = 9777152. Its totient is φ = 1016064.

The previous prime is 3407659. The next prime is 3407681. The reversal of 3407664 is 4667043.

It is a super-2 number, since 2×3407664² = 23224347873792, which contains 22 as substring.

It is a zygodrome in base 2.

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, 26769 + ... + 26895.

Almost surely, 2^3407664 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 3407664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4888576).

3407664 is an abundant number, since it is smaller than the sum of its proper divisors (6369488).

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

3407664 is a wasteful number, since it uses less digits than its factorization.

3407664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 3407664 is about 1845.9859154392. The cubic root of 3407664 is about 150.4823583181.

The spelling of 3407664 in words is "three million, four hundred seven thousand, six hundred sixty-four".