3302215122400 has 144 divisors (see below), whose sum is σ = 8119917792000. Its totient is φ = 1311329064960.

The previous prime is 3302215122377. The next prime is 3302215122421. The reversal of 3302215122400 is 42215122033.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266882614 + ... + 266894986.

It is an arithmetic number, because the mean of its divisors is an integer number (56388318000).

Almost surely, 2^{3302215122400} 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 3302215122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059958896000).

3302215122400 is an abundant number, since it is smaller than the sum of its proper divisors (4817702669600).

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

3302215122400 is a wasteful number, since it uses less digits than its factorization.

3302215122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14781 (or 14768 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 3302215122400 in words is "three trillion, three hundred two billion, two hundred fifteen million, one hundred twenty-two thousand, four hundred".