3189925200000 has 3072 divisors, whose sum is σ = 14687059968000. Its totient is φ = 593049600000.

The previous prime is 3189925199971. The next prime is 3189925200013. The reversal of 3189925200000 is 25299813.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 40378799961 + ... + 40378800039.

It is an arithmetic number, because the mean of its divisors is an integer number (4780944000).

Almost surely, 2^{3189925200000} is an apocalyptic number.

3189925200000 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 3189925200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7343529984000).

3189925200000 is an abundant number, since it is smaller than the sum of its proper divisors (11497134768000).

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

3189925200000 is a wasteful number, since it uses less digits than its factorization.

3189925200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 3189925200000 in words is "three trillion, one hundred eighty-nine billion, nine hundred twenty-five million, two hundred thousand".