3135394080 has 576 divisors, whose sum is σ = 13393755648. Its totient is φ = 650280960.

The previous prime is 3135394069. The next prime is 3135394103. The reversal of 3135394080 is 804935313.

3135394080 is a `hidden beast` number, since 3 + 1 + 3 + 539 + 40 + 80 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 9303672 + ... + 9304008.

It is an arithmetic number, because the mean of its divisors is an integer number (23253048).

Almost surely, 2^3135394080 is an apocalyptic number.

3135394080 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 3135394080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696877824).

3135394080 is an abundant number, since it is smaller than the sum of its proper divisors (10258361568).

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

3135394080 is a wasteful number, since it uses less digits than its factorization.

3135394080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3135394080 is about 55994.5897386524. The cubic root of 3135394080 is about 1463.6280072519.

The spelling of 3135394080 in words is "three billion, one hundred thirty-five million, three hundred ninety-four thousand, eighty".