3133904836608 has 960 divisors, whose sum is σ = 11741281231680. Its totient is φ = 810722525184.

The previous prime is 3133904836597. The next prime is 3133904836619. The reversal of 3133904836608 is 8066384093313.

3133904836608 is a `hidden beast` number, since 3 + 13 + 3 + 90 + 483 + 6 + 60 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3133904836597) and next prime (3133904836619).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 800075866 + ... + 800079782.

It is an arithmetic number, because the mean of its divisors is an integer number (12230501283).

Almost surely, 2^{3133904836608} 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 3133904836608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5870640615840).

3133904836608 is an abundant number, since it is smaller than the sum of its proper divisors (8607376395072).

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

3133904836608 is a wasteful number, since it uses less digits than its factorization.

3133904836608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 3995 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 3133904836608 in words is "three trillion, one hundred thirty-three billion, nine hundred four million, eight hundred thirty-six thousand, six hundred eight".