3456320 has 56 divisors (see below), whose sum is σ = 9412224. Its totient is φ = 1184256.

The previous prime is 3456319. The next prime is 3456337. The reversal of 3456320 is 236543.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×3456320² = 23892295884800, which contains 22 as substring.

It is a congruent number.

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, 1469 + ... + 3011.

Almost surely, 2^3456320 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 3456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4706112).

3456320 is an abundant number, since it is smaller than the sum of its proper divisors (5955904).

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

3456320 is a wasteful number, since it uses less digits than its factorization.

3456320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 3456320 is about 1859.1180704840. The cubic root of 3456320 is about 151.1951922176.

The spelling of 3456320 in words is "three million, four hundred fifty-six thousand, three hundred twenty".