3165840 has 60 divisors (see below), whose sum is σ = 10634364. Its totient is φ = 844032.

The previous prime is 3165829. The next prime is 3165847. The reversal of 3165840 is 485613.

3165840 is a `hidden beast` number, since 3 + 1 + 658 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1327104 + 1838736 = 1152^2 + 1356^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (3165847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1479 + ... + 2918.

Almost surely, 2^3165840 is an apocalyptic number.

3165840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3165840 is an abundant number, since it is smaller than the sum of its proper divisors (7468524).

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

3165840 is a wasteful number, since it uses less digits than its factorization.

3165840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4416 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3165840 is about 1779.2807535631. The cubic root of 3165840 is about 146.8350224680.

It can be divided in two parts, 3165 and 840, that added together give a triangular number (4005 = T₈₉).

The spelling of 3165840 in words is "three million, one hundred sixty-five thousand, eight hundred forty".