3355680 has 48 divisors (see below), whose sum is σ = 10571904. Its totient is φ = 894720.

The previous prime is 3355669. The next prime is 3355699. The reversal of 3355680 is 865533.

3355680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3355680² = 22521176524800, 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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3016 + ... + 3975.

It is an arithmetic number, because the mean of its divisors is an integer number (220248).

Almost surely, 2^3355680 is an apocalyptic number.

3355680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3355680 is an abundant number, since it is smaller than the sum of its proper divisors (7216224).

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

3355680 is a wasteful number, since it uses less digits than its factorization.

3355680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7009 (or 7001 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 3355680 is about 1831.8515223675. The cubic root of 3355680 is about 149.7132298798.

The spelling of 3355680 in words is "three million, three hundred fifty-five thousand, six hundred eighty".