3380880 has 40 divisors (see below), whose sum is σ = 10481472. Its totient is φ = 901504.

The previous prime is 3380873. The next prime is 3380893. The reversal of 3380880 is 880833.

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

It is a super-2 number, since 2×3380880² = 22860699148800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 6804 + ... + 7283.

Almost surely, 2^3380880 is an apocalyptic number.

3380880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3380880 is an abundant number, since it is smaller than the sum of its proper divisors (7100592).

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

3380880 is a wasteful number, since it uses less digits than its factorization.

3380880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14103 (or 14097 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 3380880 is about 1838.7169439585. The cubic root of 3380880 is about 150.0870605710.

The spelling of 3380880 in words is "three million, three hundred eighty thousand, eight hundred eighty".