3388621936224 has 96 divisors (see below), whose sum is σ = 10166154324480. Its totient is φ = 968150218752.

The previous prime is 3388621936223. The next prime is 3388621936229. The reversal of 3388621936224 is 4226391268833.

3388621936224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3388621936224² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3388621936223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42123112 + ... + 42203480.

It is an arithmetic number, because the mean of its divisors is an integer number (105897440880).

Almost surely, 2^{3388621936224} is an apocalyptic number.

It is an amenable number.

3388621936224 is an abundant number, since it is smaller than the sum of its proper divisors (6777532388256).

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

3388621936224 is a wasteful number, since it uses less digits than its factorization.

3388621936224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143132 (or 143124 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 57.

The spelling of 3388621936224 in words is "three trillion, three hundred eighty-eight billion, six hundred twenty-one million, nine hundred thirty-six thousand, two hundred twenty-four".