3135332000 has 96 divisors (see below), whose sum is σ = 7819156800. Its totient is φ = 1235308800.

The previous prime is 3135331967. The next prime is 3135332003. The reversal of 3135332000 is 2335313.

3135332000 is digitally balanced in base 2, 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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135332003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262151 + ... + 273849.

It is an arithmetic number, because the mean of its divisors is an integer number (81449550).

Almost surely, 2^3135332000 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 3135332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909578400).

3135332000 is an abundant number, since it is smaller than the sum of its proper divisors (4683824800).

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

3135332000 is a wasteful number, since it uses less digits than its factorization.

3135332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11791 (or 11773 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 20.

The square root of 3135332000 is about 55994.0353966385. The cubic root of 3135332000 is about 1463.6183473682.

Adding to 3135332000 its reverse (2335313), we get a palindrome (3137667313).

The spelling of 3135332000 in words is "three billion, one hundred thirty-five million, three hundred thirty-two thousand".