3959877487104 has 1440 divisors, whose sum is σ = 15190453998720. Its totient is φ = 1007709880320.

The previous prime is 3959877487099. The next prime is 3959877487123. The reversal of 3959877487104 is 4017847789593.

3959877487104 is a `hidden beast` number, since 3 + 9 + 59 + 87 + 7 + 487 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 5585158302 + ... + 5585159010.

It is an arithmetic number, because the mean of its divisors is an integer number (10548926388).

Almost surely, 2^{3959877487104} 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 3959877487104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7595226999360).

3959877487104 is an abundant number, since it is smaller than the sum of its proper divisors (11230576511616).

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

3959877487104 is an equidigital number, since it uses as much as digits as its factorization.

3959877487104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 3959877487104 in words is "three trillion, nine hundred fifty-nine billion, eight hundred seventy-seven million, four hundred eighty-seven thousand, one hundred four".