3189640320 has 96 divisors (see below), whose sum is σ = 11014246620. Its totient is φ = 850569216.

The previous prime is 3189640277. The next prime is 3189640339. The reversal of 3189640320 is 230469813.

3189640320 is a `hidden beast` number, since 3 + 1 + 8 + 9 + 640 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3189086784 + 553536 = 56472^2 + 744^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 271119 + ... + 282638.

Almost surely, 2^3189640320 is an apocalyptic number.

3189640320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3189640320 is an abundant number, since it is smaller than the sum of its proper divisors (7824606300).

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

3189640320 is a wasteful number, since it uses less digits than its factorization.

3189640320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553782 (or 553767 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3189640320 is about 56476.9007648260. The cubic root of 3189640320 is about 1472.0206558223.

The spelling of 3189640320 in words is "three billion, one hundred eighty-nine million, six hundred forty thousand, three hundred twenty".