3135960 has 96 divisors (see below), whose sum is σ = 10558080. Its totient is φ = 806400.

The previous prime is 3135959. The next prime is 3135961. The reversal of 3135960 is 695313.

It is an interprime number because it is at equal distance from previous prime (3135959) and next prime (3135961).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11020 + ... + 11300.

It is an arithmetic number, because the mean of its divisors is an integer number (109980).

Almost surely, 2^3135960 is an apocalyptic number.

3135960 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 3135960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5279040).

3135960 is an abundant number, since it is smaller than the sum of its proper divisors (7422120).

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

3135960 is a wasteful number, since it uses less digits than its factorization.

3135960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 3135960 is about 1770.8641958095. The cubic root of 3135960 is about 146.3716060674.

It can be divided in two parts, 3135 and 960, that added together give a triangular number (4095 = T₉₀).

The spelling of 3135960 in words is "three million, one hundred thirty-five thousand, nine hundred sixty".