3238200889560 has 2560 divisors, whose sum is σ = 14489798400000. Its totient is φ = 643534295040.

The previous prime is 3238200889493. The next prime is 3238200889571. The reversal of 3238200889560 is 659880028323.

3238200889560 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 2×3238200889560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3238200889497 and 3238200889506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 24719090695 + ... + 24719090825.

It is an arithmetic number, because the mean of its divisors is an integer number (5660077500).

Almost surely, 2^{3238200889560} is an apocalyptic number.

3238200889560 is a gapful number since it is divisible by the number (30) 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 3238200889560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7244899200000).

3238200889560 is an abundant number, since it is smaller than the sum of its proper divisors (11251597510440).

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

3238200889560 is a wasteful number, since it uses less digits than its factorization.

3238200889560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 3238200889560 in words is "three trillion, two hundred thirty-eight billion, two hundred million, eight hundred eighty-nine thousand, five hundred sixty".