3133957680 has 360 divisors, whose sum is σ = 12330465264. Its totient is φ = 711244800.

The previous prime is 3133957663. The next prime is 3133957699. The reversal of 3133957680 is 867593313.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7443870 + ... + 7444290.

Almost surely, 2^3133957680 is an apocalyptic number.

3133957680 is a gapful number since it is divisible by the number (30) 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 3133957680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6165232632).

3133957680 is an abundant number, since it is smaller than the sum of its proper divisors (9196507584).

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

3133957680 is a wasteful number, since it uses less digits than its factorization.

3133957680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3133957680 is about 55981.7620301469. The cubic root of 3133957680 is about 1463.4044652936.

The spelling of 3133957680 in words is "three billion, one hundred thirty-three million, nine hundred fifty-seven thousand, six hundred eighty".