3873864960 has 576 divisors, whose sum is σ = 16011878400. Its totient is φ = 868589568.

The previous prime is 3873864937. The next prime is 3873864971. The reversal of 3873864960 is 694683783.

3873864960 is a `hidden beast` number, since 3 + 8 + 73 + 86 + 496 + 0 = 666.

3873864960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 3873864897 and 3873864906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16208521 + ... + 16208759.

It is an arithmetic number, because the mean of its divisors is an integer number (27798400).

Almost surely, 2^3873864960 is an apocalyptic number.

3873864960 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 3873864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8005939200).

3873864960 is an abundant number, since it is smaller than the sum of its proper divisors (12138013440).

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

3873864960 is a wasteful number, since it uses less digits than its factorization.

3873864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 3873864960 is about 62240.3804615621. The cubic root of 3873864960 is about 1570.5369523940.

The spelling of 3873864960 in words is "three billion, eight hundred seventy-three million, eight hundred sixty-four thousand, nine hundred sixty".