3189456000000 has 1540 divisors, whose sum is σ = 12538993873824. Its totient is φ = 805939200000.

The previous prime is 3189455999993. The next prime is 3189456000001. The reversal of 3189456000000 is 6549813.

3189456000000 is a `hidden beast` number, since 3 + 1 + 8 + 9 + 45 + 600 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3189456000001) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 29807999947 + ... + 29808000053.

Almost surely, 2^{3189456000000} is an apocalyptic number.

3189456000000 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 3189456000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6269496936912).

3189456000000 is an abundant number, since it is smaller than the sum of its proper divisors (9349537873824).

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

3189456000000 is an frugal number, since it uses more digits than its factorization.

3189456000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 3189456000000 in words is "three trillion, one hundred eighty-nine billion, four hundred fifty-six million", and thus it is an aban number.