3362880 has 112 divisors (see below), whose sum is σ = 11119104. Its totient is φ = 860160.

The previous prime is 3362857. The next prime is 3362917. The reversal of 3362880 is 882633.

It is a super-2 number, since 2×3362880² = 22617923788800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29704 + ... + 29816.

Almost surely, 2^3362880 is an apocalyptic number.

3362880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559552).

3362880 is an abundant number, since it is smaller than the sum of its proper divisors (7756224).

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

3362880 is a wasteful number, since it uses less digits than its factorization.

3362880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3362880 is about 1833.8156941198. The cubic root of 3362880 is about 149.8202290800.

The spelling of 3362880 in words is "three million, three hundred sixty-two thousand, eight hundred eighty".