3639903883440 has 320 divisors, whose sum is σ = 12543482880000. Its totient is φ = 865688140800.

The previous prime is 3639903883417. The next prime is 3639903883519. The reversal of 3639903883440 is 443883099363.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77700825 + ... + 77747655.

It is an arithmetic number, because the mean of its divisors is an integer number (39198384000).

Almost surely, 2^{3639903883440} is an apocalyptic number.

3639903883440 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 3639903883440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6271741440000).

3639903883440 is an abundant number, since it is smaller than the sum of its proper divisors (8903578996560).

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

3639903883440 is a wasteful number, since it uses less digits than its factorization.

3639903883440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47416 (or 47410 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 60.

The spelling of 3639903883440 in words is "three trillion, six hundred thirty-nine billion, nine hundred three million, eight hundred eighty-three thousand, four hundred forty".