3891819891960 has 5376 divisors, whose sum is σ = 20256577044480. Its totient is φ = 650347315200.

The previous prime is 3891819891931. The next prime is 3891819892021. The reversal of 3891819891960 is 691989181983.

3891819891960 is a `hidden beast` number, since 389 + 1 + 81 + 9 + 89 + 1 + 96 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 1343 ways as a sum of consecutive naturals, for example, 125542577145 + ... + 125542577175.

It is an arithmetic number, because the mean of its divisors is an integer number (3767964480).

Almost surely, 2^{3891819891960} is an apocalyptic number.

3891819891960 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 3891819891960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10128288522240).

3891819891960 is an abundant number, since it is smaller than the sum of its proper divisors (16364757152520).

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

3891819891960 is a wasteful number, since it uses less digits than its factorization.

3891819891960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 72.

The spelling of 3891819891960 in words is "three trillion, eight hundred ninety-one billion, eight hundred nineteen million, eight hundred ninety-one thousand, nine hundred sixty".