3222345401000 has 128 divisors (see below), whose sum is σ = 8278166856960. Its totient is φ = 1164297888000.

The previous prime is 3222345400997. The next prime is 3222345401021. The reversal of 3222345401000 is 1045432223.

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 31 ways as a sum of consecutive naturals, for example, 794069 + ... + 2659931.

It is an arithmetic number, because the mean of its divisors is an integer number (64673178570).

Almost surely, 2^{3222345401000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3222345401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139083428480).

3222345401000 is an abundant number, since it is smaller than the sum of its proper divisors (5055821455960).

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

3222345401000 is a wasteful number, since it uses less digits than its factorization.

3222345401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866052 (or 1866038 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The spelling of 3222345401000 in words is "three trillion, two hundred twenty-two billion, three hundred forty-five million, four hundred one thousand".