3212900328000 has 448 divisors, whose sum is σ = 11886283259136. Its totient is φ = 757831680000.

The previous prime is 3212900327999. The next prime is 3212900328089. The reversal of 3212900328000 is 8230092123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9603540 + ... + 9932460.

Almost surely, 2^{3212900328000} is an apocalyptic number.

3212900328000 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 3212900328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943141629568).

3212900328000 is an abundant number, since it is smaller than the sum of its proper divisors (8673382931136).

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

3212900328000 is a wasteful number, since it uses less digits than its factorization.

3212900328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328999 (or 328979 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 3212900328000 in words is "three trillion, two hundred twelve billion, nine hundred million, three hundred twenty-eight thousand".