3456880 has 40 divisors (see below), whose sum is σ = 9186912. Its totient is φ = 1185024.

The previous prime is 3456863. The next prime is 3456881. The reversal of 3456880 is 886543.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3456881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2527 + ... + 3646.

Almost surely, 2^3456880 is an apocalyptic number.

It is an amenable number.

3456880 is an abundant number, since it is smaller than the sum of its proper divisors (5730032).

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

3456880 is a wasteful number, since it uses less digits than its factorization.

3456880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6193 (or 6187 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 3456880 is about 1859.2686734305. The cubic root of 3456880 is about 151.2033574276.

It can be divided in two parts, 345 and 6880, that added together give a square (7225 = 85²).

The spelling of 3456880 in words is "three million, four hundred fifty-six thousand, eight hundred eighty".