3242350585656 has 1920 divisors, whose sum is σ = 12570705100800. Its totient is φ = 761168378880.

The previous prime is 3242350585553. The next prime is 3242350585679. The reversal of 3242350585656 is 6565850532423.

3242350585656 is a `hidden beast` number, since 3 + 2 + 4 + 2 + 3 + 5 + 0 + 585 + 6 + 56 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 19415272885 + ... + 19415273051.

It is an arithmetic number, because the mean of its divisors is an integer number (6547242240).

Almost surely, 2^{3242350585656} is an apocalyptic number.

3242350585656 is a gapful number since it is divisible by the number (36) 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 3242350585656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6285352550400).

3242350585656 is an abundant number, since it is smaller than the sum of its proper divisors (9328354515144).

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

3242350585656 is a wasteful number, since it uses less digits than its factorization.

3242350585656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 3242350585656 in words is "three trillion, two hundred forty-two billion, three hundred fifty million, five hundred eighty-five thousand, six hundred fifty-six".