3135196800 has 384 divisors, whose sum is σ = 11603275200. Its totient is φ = 826675200.

The previous prime is 3135196777. The next prime is 3135196807. The reversal of 3135196800 is 86915313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (3135196807) 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 47 ways as a sum of consecutive naturals, for example, 11318262 + ... + 11318538.

Almost surely, 2^3135196800 is an apocalyptic number.

3135196800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3135196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801637600).

3135196800 is an abundant number, since it is smaller than the sum of its proper divisors (8468078400).

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

3135196800 is a wasteful number, since it uses less digits than its factorization.

3135196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 3135196800 is about 55992.8281121788. The cubic root of 3135196800 is about 1463.5973092936.

The spelling of 3135196800 in words is "three billion, one hundred thirty-five million, one hundred ninety-six thousand, eight hundred".