3135616680 has 256 divisors, whose sum is σ = 11879239680. Its totient is φ = 645156864.

The previous prime is 3135616661. The next prime is 3135616691. The reversal of 3135616680 is 866165313.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 323667 + ... + 333213.

It is an arithmetic number, because the mean of its divisors is an integer number (46403280).

Almost surely, 2^3135616680 is an apocalyptic number.

3135616680 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 3135616680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5939619840).

3135616680 is an abundant number, since it is smaller than the sum of its proper divisors (8743623000).

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

3135616680 is a wasteful number, since it uses less digits than its factorization.

3135616680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9608 (or 9604 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 3135616680 is about 55996.5773954087. The cubic root of 3135616680 is about 1463.6626436087.

The spelling of 3135616680 in words is "three billion, one hundred thirty-five million, six hundred sixteen thousand, six hundred eighty".