3135449318400 has 2673 divisors, whose sum is σ = 14334593061087. Its totient is φ = 652758220800.

The previous prime is 3135449318363. The next prime is 3135449318411. The reversal of 3135449318400 is 48139445313.

The square root of 3135449318400 is 1770720.

It is a perfect power (a square), and thus also a powerful number.

3135449318400 is a `hidden beast` number, since 3 + 1 + 3 + 544 + 93 + 18 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 73341305856 + 3062108012544 = 270816^2 + 1749888^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 242 ways as a sum of consecutive naturals, for example, 101143526385 + ... + 101143526415.

Almost surely, 2^{3135449318400} is an apocalyptic number.

3135449318400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3135449318400 is the 1770720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3135449318400

3135449318400 is an abundant number, since it is smaller than the sum of its proper divisors (11199143742687).

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

3135449318400 is a wasteful number, since it uses less digits than its factorization.

3135449318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3135449318400 in words is "three trillion, one hundred thirty-five billion, four hundred forty-nine million, three hundred eighteen thousand, four hundred".