3133420320 has 96 divisors (see below), whose sum is σ = 10099881792. Its totient is φ = 816141312.

The previous prime is 3133420267. The next prime is 3133420349. The reversal of 3133420320 is 230243313.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×3133420320³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55267 + ... + 96546.

It is an arithmetic number, because the mean of its divisors is an integer number (105207102).

Almost surely, 2^3133420320 is an apocalyptic number.

3133420320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3133420320 is an abundant number, since it is smaller than the sum of its proper divisors (6966461472).

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

3133420320 is a wasteful number, since it uses less digits than its factorization.

3133420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151874 (or 151866 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 3133420320 is about 55976.9624041891. The cubic root of 3133420320 is about 1463.3208202614.

Adding to 3133420320 its reverse (230243313), we get a palindrome (3363663633).

The spelling of 3133420320 in words is "three billion, one hundred thirty-three million, four hundred twenty thousand, three hundred twenty".