3189312000 has 720 divisors, whose sum is σ = 13481036712. Its totient is φ = 722534400.

The previous prime is 3189311989. The next prime is 3189312029. The reversal of 3189312000 is 2139813.

It can be written as a sum of positive squares in 4 ways, for example, as 189778176 + 2999533824 = 13776^2 + 54768^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3189312000² = 20343422066688000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28223944 + ... + 28224056.

Almost surely, 2^3189312000 is an apocalyptic number.

3189312000 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 3189312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6740518356).

3189312000 is an abundant number, since it is smaller than the sum of its proper divisors (10291724712).

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

3189312000 is a wasteful number, since it uses less digits than its factorization.

3189312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3189312000 is about 56473.9940149446. The cubic root of 3189312000 is about 1471.9701474727.

The spelling of 3189312000 in words is "three billion, one hundred eighty-nine million, three hundred twelve thousand".