3135202400 has 144 divisors (see below), whose sum is σ = 8576169840. Its totient is φ = 1109145600.

The previous prime is 3135202387. The next prime is 3135202403. The reversal of 3135202400 is 42025313.

It is a happy number.

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 (3135202403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320786 + ... + 330414.

It is an arithmetic number, because the mean of its divisors is an integer number (59556735).

Almost surely, 2^3135202400 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 3135202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4288084920).

3135202400 is an abundant number, since it is smaller than the sum of its proper divisors (5440967440).

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

3135202400 is a wasteful number, since it uses less digits than its factorization.

3135202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9697 (or 9684 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3135202400 is about 55992.8781185608. The cubic root of 3135202400 is about 1463.5981807052.

Adding to 3135202400 its reverse (42025313), we get a palindrome (3177227713).

The spelling of 3135202400 in words is "three billion, one hundred thirty-five million, two hundred two thousand, four hundred".