3135776004 has 189 divisors, whose sum is σ = 8885726031. Its totient is φ = 967645440.

The previous prime is 3135775999. The next prime is 3135776023. The reversal of 3135776004 is 4006775313.

The square root of 3135776004 is 55998.

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

It can be written as a sum of positive squares in 4 ways, for example, as 289340100 + 2846435904 = 17010^2 + 53352^2 .

It is a super-2 number, since 2×3135776004² = 19666182294524416032, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3135776004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 51406134 + ... + 51406194.

Almost surely, 2^3135776004 is an apocalyptic number.

3135776004 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3135776004 is the 55998-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3135776004

3135776004 is an abundant number, since it is smaller than the sum of its proper divisors (5749950027).

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

3135776004 is an equidigital number, since it uses as much as digits as its factorization.

3135776004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The cubic root of 3135776004 is about 1463.6874332712.

Multiplying 3135776004 by its sum of digits (36), we get a square (112887936144 = 335988²).

3135776004 divided by its sum of digits (36) gives a square (87104889 = 9333²).

The spelling of 3135776004 in words is "three billion, one hundred thirty-five million, seven hundred seventy-six thousand, four".