3871793520000 has 1600 divisors, whose sum is σ = 17426725287840. Its totient is φ = 832757760000.

The previous prime is 3871793519977. The next prime is 3871793520037. The reversal of 3871793520000 is 253971783.

It is a happy number.

3871793520000 is a `hidden beast` number, since 38 + 7 + 1 + 7 + 93 + 520 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 771117490 + ... + 771122510.

Almost surely, 2^{3871793520000} is an apocalyptic number.

3871793520000 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 3871793520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8713362643920).

3871793520000 is an abundant number, since it is smaller than the sum of its proper divisors (13554931767840).

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

3871793520000 is an equidigital number, since it uses as much as digits as its factorization.

3871793520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5091 (or 5055 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 3871793520000 in words is "three trillion, eight hundred seventy-one billion, seven hundred ninety-three million, five hundred twenty thousand".