3621581824000 has 448 divisors, whose sum is σ = 10583004886272. Its totient is φ = 1211301888000.

The previous prime is 3621581823971. The next prime is 3621581824001. The reversal of 3621581824000 is 4281851263.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3621581824001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293881839 + ... + 293894161.

It is an arithmetic number, because the mean of its divisors is an integer number (23622778764).

Almost surely, 2^{3621581824000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3621581824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5291502443136).

3621581824000 is an abundant number, since it is smaller than the sum of its proper divisors (6961423062272).

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

3621581824000 is an equidigital number, since it uses as much as digits as its factorization.

3621581824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12412 (or 12378 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 3621581824000 in words is "three trillion, six hundred twenty-one billion, five hundred eighty-one million, eight hundred twenty-four thousand".