3189438810000 has 225 divisors, whose sum is σ = 11155802195109. Its totient is φ = 850374144000.

The previous prime is 3189438809989. The next prime is 3189438810023. The reversal of 3189438810000 is 188349813.

The square root of 3189438810000 is 1785900.

It is a perfect power (a square), and thus also a powerful number.

3189438810000 is a `hidden beast` number, since 31 + 89 + 438 + 8 + 100 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 3073163265936 + 116275544064 = 1753044^2 + 340992^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a super-3 number, since 3×3189438810000³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 44 ways as a sum of consecutive naturals, for example, 535767024 + ... + 535772976.

Almost surely, 2^{3189438810000} is an apocalyptic number.

3189438810000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3189438810000 is the 1785900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3189438810000

3189438810000 is an abundant number, since it is smaller than the sum of its proper divisors (7966363385109).

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

3189438810000 is an frugal number, since it uses more digits than its factorization.

3189438810000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11940 (or 5963 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 3189438810000 in words is "three trillion, one hundred eighty-nine billion, four hundred thirty-eight million, eight hundred ten thousand".