3238850356560 has 3840 divisors, whose sum is σ = 15723793612800. Its totient is φ = 578086502400.

The previous prime is 3238850356549. The next prime is 3238850356571. The reversal of 3238850356560 is 656530588323.

3238850356560 is a `hidden beast` number, since 3 + 2 + 3 + 88 + 503 + 5 + 6 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3238850356549) and next prime (3238850356571).

It is a junction number, because it is equal to n+sod(n) for n = 3238850356497 and 3238850356506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 36391576996 + ... + 36391577084.

It is an arithmetic number, because the mean of its divisors is an integer number (4094737920).

Almost surely, 2^{3238850356560} is an apocalyptic number.

3238850356560 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 3238850356560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7861896806400).

3238850356560 is an abundant number, since it is smaller than the sum of its proper divisors (12484943256240).

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

3238850356560 is a wasteful number, since it uses less digits than its factorization.

3238850356560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 3238850356560 in words is "three trillion, two hundred thirty-eight billion, eight hundred fifty million, three hundred fifty-six thousand, five hundred sixty".