3135888 has 160 divisors (see below), whose sum is σ = 11070720. Its totient is φ = 829440.

The previous prime is 3135883. The next prime is 3135943. The reversal of 3135888 is 8885313.

It is a happy number.

3135888 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (23040) is a multiple of the sum of its prime divisors (90).

3135888 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51378 + ... + 51438.

It is an arithmetic number, because the mean of its divisors is an integer number (69192).

Almost surely, 2^3135888 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 3135888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535360).

3135888 is an abundant number, since it is smaller than the sum of its proper divisors (7934832).

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

3135888 is a wasteful number, since it uses less digits than its factorization.

3135888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 90 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 3135888 is about 1770.8438666353. The cubic root of 3135888 is about 146.3704858536.

The spelling of 3135888 in words is "three million, one hundred thirty-five thousand, eight hundred eighty-eight".