3639999600000 has 1536 divisors, whose sum is σ = 14044501094400. Its totient is φ = 927360000000.

The previous prime is 3639999599989. The next prime is 3639999600007. The reversal of 3639999600000 is 69999363.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3639999600000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3639999600007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36039599950 + ... + 36039600050.

It is an arithmetic number, because the mean of its divisors is an integer number (9143555400).

Almost surely, 2^{3639999600000} is an apocalyptic number.

3639999600000 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 3639999600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7022250547200).

3639999600000 is an abundant number, since it is smaller than the sum of its proper divisors (10404501494400).

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

3639999600000 is an equidigital number, since it uses as much as digits as its factorization.

3639999600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2125764, while the sum is 54.

The spelling of 3639999600000 in words is "three trillion, six hundred thirty-nine billion, nine hundred ninety-nine million, six hundred thousand".