3891977004960 has 768 divisors, whose sum is σ = 15611097600000. Its totient is φ = 896392949760.

The previous prime is 3891977004959. The next prime is 3891977004961. The reversal of 3891977004960 is 694007791983.

3891977004960 is a `hidden beast` number, since 389 + 1 + 97 + 70 + 0 + 49 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (3891977004959) and next prime (3891977004961).

It is not an unprimeable number, because it can be changed into a prime (3891977004961) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 162839091 + ... + 162862989.

It is an arithmetic number, because the mean of its divisors is an integer number (20326950000).

Almost surely, 2^{3891977004960} is an apocalyptic number.

3891977004960 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 3891977004960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7805548800000).

3891977004960 is an abundant number, since it is smaller than the sum of its proper divisors (11719120595040).

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

3891977004960 is a wasteful number, since it uses less digits than its factorization.

3891977004960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24106 (or 24092 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 3891977004960 in words is "three trillion, eight hundred ninety-one billion, nine hundred seventy-seven million, four thousand, nine hundred sixty".