3621508448256 has 512 divisors, whose sum is σ = 11173455360000. Its totient is φ = 1157871697920.

The previous prime is 3621508448237. The next prime is 3621508448273. The reversal of 3621508448256 is 6528448051263.

3621508448256 is a `hidden beast` number, since 3 + 6 + 2 + 1 + 508 + 4 + 4 + 82 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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 31 ways as a sum of consecutive naturals, for example, 4900552335 + ... + 4900553073.

It is an arithmetic number, because the mean of its divisors is an integer number (21823155000).

Almost surely, 2^{3621508448256} is an apocalyptic number.

3621508448256 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 3621508448256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586727680000).

3621508448256 is an abundant number, since it is smaller than the sum of its proper divisors (7551946911744).

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

3621508448256 is an equidigital number, since it uses as much as digits as its factorization.

3621508448256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 3621508448256 in words is "three trillion, six hundred twenty-one billion, five hundred eight million, four hundred forty-eight thousand, two hundred fifty-six".