3135398800 has 120 divisors (see below), whose sum is σ = 7882698600. Its totient is φ = 1196912640.

The previous prime is 3135398789. The next prime is 3135398821. The reversal of 3135398800 is 88935313.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 711608976 + 2423789824 = 26676^2 + 49232^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1030882 + ... + 1033918.

It is an arithmetic number, because the mean of its divisors is an integer number (65689155).

Almost surely, 2^3135398800 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 3135398800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941349300).

3135398800 is an abundant number, since it is smaller than the sum of its proper divisors (4747299800).

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

3135398800 is a wasteful number, since it uses less digits than its factorization.

3135398800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173 (or 3162 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 3135398800 is about 55994.6318855656. The cubic root of 3135398800 is about 1463.6287416966.

The spelling of 3135398800 in words is "three billion, one hundred thirty-five million, three hundred ninety-eight thousand, eight hundred".