3135666260736 has 432 divisors, whose sum is σ = 9702712656000. Its totient is φ = 972035850240.

The previous prime is 3135666260651. The next prime is 3135666260743. The reversal of 3135666260736 is 6370626665313.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216409780 + ... + 216424268.

It is an arithmetic number, because the mean of its divisors is an integer number (22459983000).

Almost surely, 2^{3135666260736} is an apocalyptic number.

3135666260736 is a gapful number since it is divisible by the number (36) 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 3135666260736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4851356328000).

3135666260736 is an abundant number, since it is smaller than the sum of its proper divisors (6567046395264).

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

3135666260736 is a wasteful number, since it uses less digits than its factorization.

3135666260736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14660 (or 14643 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 54.

The spelling of 3135666260736 in words is "three trillion, one hundred thirty-five billion, six hundred sixty-six million, two hundred sixty thousand, seven hundred thirty-six".