3133711693728 has 2304 divisors, whose sum is σ = 12775582310400. Its totient is φ = 746197401600.

The previous prime is 3133711693699. The next prime is 3133711693793. The reversal of 3133711693728 is 8273961173313.

It is a super-2 number, since 2×3133711693728² (a number of 26 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 30424385325 + ... + 30424385427.

It is an arithmetic number, because the mean of its divisors is an integer number (5544957600).

Almost surely, 2^{3133711693728} 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 3133711693728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6387791155200).

3133711693728 is an abundant number, since it is smaller than the sum of its proper divisors (9641870616672).

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

3133711693728 is a wasteful number, since it uses less digits than its factorization.

3133711693728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 204 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The spelling of 3133711693728 in words is "three trillion, one hundred thirty-three billion, seven hundred eleven million, six hundred ninety-three thousand, seven hundred twenty-eight".