3874800384 has 216 divisors, whose sum is σ = 13750903712. Its totient is φ = 1021870080.

The previous prime is 3874800331. The next prime is 3874800389. The reversal of 3874800384 is 4830084783.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3874800389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200424 + ... + 218904.

Almost surely, 2^3874800384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3874800384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6875451856).

3874800384 is an abundant number, since it is smaller than the sum of its proper divisors (9876103328).

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

3874800384 is a wasteful number, since it uses less digits than its factorization.

3874800384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18523 (or 18506 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 3874800384 is about 62247.8946149988. The cubic root of 3874800384 is about 1570.6633549867.

The spelling of 3874800384 in words is "three billion, eight hundred seventy-four million, eight hundred thousand, three hundred eighty-four".