3135056400 has 600 divisors, whose sum is σ = 13440223104. Its totient is φ = 684288000.

The previous prime is 3135056347. The next prime is 3135056401. The reversal of 3135056400 is 46505313.

3135056400 is a `hidden beast` number, since 3 + 13 + 5 + 0 + 5 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135056401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5216100 + ... + 5216700.

Almost surely, 2^3135056400 is an apocalyptic number.

3135056400 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 3135056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6720111552).

3135056400 is an abundant number, since it is smaller than the sum of its proper divisors (10305166704).

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

3135056400 is a wasteful number, since it uses less digits than its factorization.

3135056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 3135056400 is about 55991.5743661491. The cubic root of 3135056400 is about 1463.5754614222.

The spelling of 3135056400 in words is "three billion, one hundred thirty-five million, fifty-six thousand, four hundred".