3621516800 has 360 divisors, whose sum is σ = 10514762280. Its totient is φ = 1225523200.

The previous prime is 3621516799. The next prime is 3621516827. The reversal of 3621516800 is 86151263.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40691156 + ... + 40691244.

It is an arithmetic number, because the mean of its divisors is an integer number (29207673).

Almost surely, 2^3621516800 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 3621516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5257381140).

3621516800 is an abundant number, since it is smaller than the sum of its proper divisors (6893245480).

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

3621516800 is a wasteful number, since it uses less digits than its factorization.

3621516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 3621516800 is about 60179.0395403582. The cubic root of 3621516800 is about 1535.6662324556. Note that the first 3 decimals are identical.

The spelling of 3621516800 in words is "three billion, six hundred twenty-one million, five hundred sixteen thousand, eight hundred".