3133959768 has 64 divisors (see below), whose sum is σ = 8721244800. Its totient is φ = 1042757280.

The previous prime is 3133959757. The next prime is 3133959779. The reversal of 3133959768 is 8679593313.

3133959768 is a `hidden beast` number, since 3 + 13 + 39 + 597 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3133959757) and next prime (3133959779).

It is a super-2 number, since 2×3133959768² = 19643407654885227648, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 108723 + ... + 134493.

It is an arithmetic number, because the mean of its divisors is an integer number (136269450).

Almost surely, 2^3133959768 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 3133959768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4360622400).

3133959768 is an abundant number, since it is smaller than the sum of its proper divisors (5587285032).

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

3133959768 is a wasteful number, since it uses less digits than its factorization.

3133959768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26349 (or 26339 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The square root of 3133959768 is about 55981.7806790745. The cubic root of 3133959768 is about 1463.4047902913.

The spelling of 3133959768 in words is "three billion, one hundred thirty-three million, nine hundred fifty-nine thousand, seven hundred sixty-eight".