3135669840576 has 672 divisors, whose sum is σ = 11505266060288. Its totient is φ = 794480762880.

The previous prime is 3135669840571. The next prime is 3135669840661. The reversal of 3135669840576 is 6750489665313.

3135669840576 is a `hidden beast` number, since 3 + 1 + 3 + 56 + 6 + 9 + 8 + 4 + 0 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3135669840571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137475765 + ... + 137498571.

Almost surely, 2^{3135669840576} is an apocalyptic number.

3135669840576 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 3135669840576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5752633030144).

3135669840576 is an abundant number, since it is smaller than the sum of its proper divisors (8369596219712).

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

3135669840576 is a wasteful number, since it uses less digits than its factorization.

3135669840576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22949 (or 22936 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 3135669840576 in words is "three trillion, one hundred thirty-five billion, six hundred sixty-nine million, eight hundred forty thousand, five hundred seventy-six".