3388221642400 has 144 divisors (see below), whose sum is σ = 9470118623616. Its totient is φ = 1159589329920.

The previous prime is 3388221642313. The next prime is 3388221642401. The reversal of 3388221642400 is 42461228833.

3388221642400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3388221642400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3388221642401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2576077 + ... + 3662323.

It is an arithmetic number, because the mean of its divisors is an integer number (65764712664).

Almost surely, 2^{3388221642400} 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 3388221642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4735059311808).

3388221642400 is an abundant number, since it is smaller than the sum of its proper divisors (6081896981216).

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

3388221642400 is a wasteful number, since it uses less digits than its factorization.

3388221642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086831 (or 1086818 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The spelling of 3388221642400 in words is "three trillion, three hundred eighty-eight billion, two hundred twenty-one million, six hundred forty-two thousand, four hundred".