3135340656 has 240 divisors, whose sum is σ = 10617549600. Its totient is φ = 883104768.

The previous prime is 3135340639. The next prime is 3135340667. The reversal of 3135340656 is 6560435313.

It is a super-2 number, since 2×3135340656² = 19660722058333020672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3135340656.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1544250 + ... + 1546278.

It is an arithmetic number, because the mean of its divisors is an integer number (44239790).

Almost surely, 2^3135340656 is an apocalyptic number.

3135340656 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 3135340656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5308774800).

3135340656 is an abundant number, since it is smaller than the sum of its proper divisors (7482208944).

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

3135340656 is a wasteful number, since it uses less digits than its factorization.

3135340656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 3135340656 is about 55994.1126905320. The cubic root of 3135340656 is about 1463.6196942823.

Adding to 3135340656 its reverse (6560435313), we get a palindrome (9695775969).

The spelling of 3135340656 in words is "three billion, one hundred thirty-five million, three hundred forty thousand, six hundred fifty-six".