3388609527552 has 432 divisors, whose sum is σ = 10608844019200. Its totient is φ = 1066659010560.

The previous prime is 3388609527533. The next prime is 3388609527557. The reversal of 3388609527552 is 2557259068833.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×3388609527552² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3388609527552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3388609527557) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 288853527 + ... + 288865257.

Almost surely, 2^{3388609527552} is an apocalyptic number.

3388609527552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3388609527552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5304422009600).

3388609527552 is an abundant number, since it is smaller than the sum of its proper divisors (7220234491648).

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

3388609527552 is a wasteful number, since it uses less digits than its factorization.

3388609527552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11881 (or 11838 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 3388609527552 in words is "three trillion, three hundred eighty-eight billion, six hundred nine million, five hundred twenty-seven thousand, five hundred fifty-two".