3332880 has 80 divisors (see below), whose sum is σ = 11487360. Its totient is φ = 888192.

The previous prime is 3332869. The next prime is 3332897. The reversal of 3332880 is 882333.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3332880² = 22216178188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1389 + ... + 2931.

It is an arithmetic number, because the mean of its divisors is an integer number (143592).

Almost surely, 2^3332880 is an apocalyptic number.

3332880 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 3332880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5743680).

3332880 is an abundant number, since it is smaller than the sum of its proper divisors (8154480).

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

3332880 is a wasteful number, since it uses less digits than its factorization.

3332880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3332880 is about 1825.6177036828. The cubic root of 3332880 is about 149.3733860111.

The spelling of 3332880 in words is "three million, three hundred thirty-two thousand, eight hundred eighty".