3999590638848 has 1080 divisors, whose sum is σ = 14158143502272. Its totient is φ = 1124187144192.

The previous prime is 3999590638811. The next prime is 3999590638861. The reversal of 3999590638848 is 8488360959993.

3999590638848 is a `hidden beast` number, since 399 + 9 + 5 + 90 + 63 + 8 + 84 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23949644461 + ... + 23949644627.

Almost surely, 2^{3999590638848} 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 3999590638848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7079071751136).

3999590638848 is an abundant number, since it is smaller than the sum of its proper divisors (10158552863424).

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

3999590638848 is an frugal number, since it uses more digits than its factorization.

3999590638848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 3627970560, while the sum is 81.

The spelling of 3999590638848 in words is "three trillion, nine hundred ninety-nine billion, five hundred ninety million, six hundred thirty-eight thousand, eight hundred forty-eight".