3135493760 has 256 divisors, whose sum is σ = 8967905280. Its totient is φ = 1025740800.

The previous prime is 3135493747. The next prime is 3135493771. The reversal of 3135493760 is 673945313.

3135493760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3135493760² = 19662642237997875200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14860055 + ... + 14860265.

It is an arithmetic number, because the mean of its divisors is an integer number (35030880).

Almost surely, 2^3135493760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3135493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483952640).

3135493760 is an abundant number, since it is smaller than the sum of its proper divisors (5832411520).

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

3135493760 is a wasteful number, since it uses less digits than its factorization.

3135493760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 41.

The square root of 3135493760 is about 55995.4798175710. The cubic root of 3135493760 is about 1463.6435175716.

The spelling of 3135493760 in words is "three billion, one hundred thirty-five million, four hundred ninety-three thousand, seven hundred sixty".