3891983800320 has 3072 divisors, whose sum is σ = 18227433369600. Its totient is φ = 773967052800.

The previous prime is 3891983800303. The next prime is 3891983800349. The reversal of 3891983800320 is 230083891983.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 63803013090 + ... + 63803013150.

It is an arithmetic number, because the mean of its divisors is an integer number (5933409300).

Almost surely, 2^{3891983800320} is an apocalyptic number.

3891983800320 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 3891983800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9113716684800).

3891983800320 is an abundant number, since it is smaller than the sum of its proper divisors (14335449569280).

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

3891983800320 is an equidigital number, since it uses as much as digits as its factorization.

3891983800320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 3891983800320 in words is "three trillion, eight hundred ninety-one billion, nine hundred eighty-three million, eight hundred thousand, three hundred twenty".