3316222544400 has 120 divisors (see below), whose sum is σ = 11803295835360. Its totient is φ = 884326008960.

The previous prime is 3316222544389. The next prime is 3316222544417. The reversal of 3316222544400 is 44452226133.

3316222544400 is a `hidden beast` number, since 3 + 3 + 1 + 622 + 25 + 4 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153518022 + ... + 153539621.

It is an arithmetic number, because the mean of its divisors is an integer number (98360798628).

Almost surely, 2^{3316222544400} is an apocalyptic number.

3316222544400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3316222544400 is an abundant number, since it is smaller than the sum of its proper divisors (8487073290960).

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

3316222544400 is a wasteful number, since it uses less digits than its factorization.

3316222544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307057670 (or 307057653 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 3316222544400 in words is "three trillion, three hundred sixteen billion, two hundred twenty-two million, five hundred forty-four thousand, four hundred".