3621498566400 has 1944 divisors, whose sum is σ = 15802685563392. Its totient is φ = 783544320000.

The previous prime is 3621498566393. The next prime is 3621498566447. The reversal of 3621498566400 is 46658941263.

3621498566400 is a `hidden beast` number, since 3 + 62 + 1 + 49 + 85 + 66 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3319429855 + ... + 3319430945.

Almost surely, 2^{3621498566400} is an apocalyptic number.

3621498566400 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 3621498566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7901342781696).

3621498566400 is an abundant number, since it is smaller than the sum of its proper divisors (12181186996992).

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

3621498566400 is a wasteful number, since it uses less digits than its factorization.

3621498566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 3621498566400 in words is "three trillion, six hundred twenty-one billion, four hundred ninety-eight million, five hundred sixty-six thousand, four hundred".