3135680 has 56 divisors (see below), whose sum is σ = 7680960. Its totient is φ = 1218560.

The previous prime is 3135677. The next prime is 3135707. The reversal of 3135680 is 865313.

3135680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13001 + ... + 13239.

It is an arithmetic number, because the mean of its divisors is an integer number (137160).

Almost surely, 2^3135680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840480).

3135680 is an abundant number, since it is smaller than the sum of its proper divisors (4545280).

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

3135680 is a wasteful number, since it uses less digits than its factorization.

3135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 3135680 is about 1770.7851365990. The cubic root of 3135680 is about 146.3672495843.

The spelling of 3135680 in words is "three million, one hundred thirty-five thousand, six hundred eighty".