3388304574984 has 256 divisors, whose sum is σ = 10275471360000. Its totient is φ = 909503790336.

The previous prime is 3388304574983. The next prime is 3388304575027. The reversal of 3388304574984 is 4894754038833.

It is a super-2 number, since 2×3388304574984² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3388304574983) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 234007857 + ... + 234022335.

It is an arithmetic number, because the mean of its divisors is an integer number (40138560000).

Almost surely, 2^{3388304574984} 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 3388304574984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5137735680000).

3388304574984 is an abundant number, since it is smaller than the sum of its proper divisors (6887166785016).

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

3388304574984 is a wasteful number, since it uses less digits than its factorization.

3388304574984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15120 (or 15116 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 66.

The spelling of 3388304574984 in words is "three trillion, three hundred eighty-eight billion, three hundred four million, five hundred seventy-four thousand, nine hundred eighty-four".