3135613995360 has 2304 divisors, whose sum is σ = 14995902781440. Its totient is φ = 592419225600.

The previous prime is 3135613995247. The next prime is 3135613995373. The reversal of 3135613995360 is 635993165313.

3135613995360 is a `hidden beast` number, since 3 + 1 + 3 + 5 + 6 + 13 + 99 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3135613995297 and 3135613995306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5434339392 + ... + 5434339968.

It is an arithmetic number, because the mean of its divisors is an integer number (6508638360).

Almost surely, 2^{3135613995360} is an apocalyptic number.

3135613995360 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 3135613995360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7497951390720).

3135613995360 is an abundant number, since it is smaller than the sum of its proper divisors (11860288786080).

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

3135613995360 is a wasteful number, since it uses less digits than its factorization.

3135613995360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 5904900, while the sum is 54.

The spelling of 3135613995360 in words is "three trillion, one hundred thirty-five billion, six hundred thirteen million, nine hundred ninety-five thousand, three hundred sixty".