3331680 has 96 divisors (see below), whose sum is σ = 11467008. Its totient is φ = 806400.

The previous prime is 3331673. The next prime is 3331733. The reversal of 3331680 is 861333.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3331680² = 22200183244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3331680.

It is a congruent number.

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, 4965 + ... + 5595.

It is an arithmetic number, because the mean of its divisors is an integer number (119448).

Almost surely, 2^3331680 is an apocalyptic number.

3331680 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 3331680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5733504).

3331680 is an abundant number, since it is smaller than the sum of its proper divisors (8135328).

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

3331680 is a wasteful number, since it uses less digits than its factorization.

3331680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3331680 is about 1825.2890182105. The cubic root of 3331680 is about 149.3554566146.

It can be divided in two parts, 33 and 31680, that added together give a palindrome (31713).

The spelling of 3331680 in words is "three million, three hundred thirty-one thousand, six hundred eighty".