3979003585536 has 1584 divisors, whose sum is σ = 14787694380160. Its totient is φ = 1044855521280.

The previous prime is 3979003585511. The next prime is 3979003585541. The reversal of 3979003585536 is 6355853009793.

3979003585536 is a `hidden beast` number, since 3 + 9 + 7 + 90 + 0 + 3 + 5 + 8 + 5 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54506898396 + ... + 54506898468.

Almost surely, 2^{3979003585536} is an apocalyptic number.

3979003585536 is a gapful number since it is divisible by the number (36) 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 3979003585536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7393847190080).

3979003585536 is an abundant number, since it is smaller than the sum of its proper divisors (10808690794624).

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

3979003585536 is an frugal number, since it uses more digits than its factorization.

3979003585536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 91854000, while the sum is 63.

The spelling of 3979003585536 in words is "three trillion, nine hundred seventy-nine billion, three million, five hundred eighty-five thousand, five hundred thirty-six".