3639286560000 has 2880 divisors, whose sum is σ = 16413176102400. Its totient is φ = 697761792000.

The previous prime is 3639286559977. The next prime is 3639286560011. The reversal of 3639286560000 is 656829363.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 125492639986 + ... + 125492640014.

It is an arithmetic number, because the mean of its divisors is an integer number (5699019480).

Almost surely, 2^{3639286560000} is an apocalyptic number.

3639286560000 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 3639286560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8206588051200).

3639286560000 is an abundant number, since it is smaller than the sum of its proper divisors (12773889542400).

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

3639286560000 is an equidigital number, since it uses as much as digits as its factorization.

3639286560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 3639286560000 in words is "three trillion, six hundred thirty-nine billion, two hundred eighty-six million, five hundred sixty thousand".