3135662408704 has 352 divisors, whose sum is σ = 7749214905600. Its totient is φ = 1238134947840.

The previous prime is 3135662408689. The next prime is 3135662408707. The reversal of 3135662408704 is 4078042665313.

It is a super-2 number, since 2×3135662408704² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3135662408707) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2283802962 + ... + 2283804334.

Almost surely, 2^{3135662408704} 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 3135662408704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874607452800).

3135662408704 is an abundant number, since it is smaller than the sum of its proper divisors (4613552496896).

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

3135662408704 is a wasteful number, since it uses less digits than its factorization.

3135662408704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 49.

The spelling of 3135662408704 in words is "three trillion, one hundred thirty-five billion, six hundred sixty-two million, four hundred eight thousand, seven hundred four".