3840124284 has 72 divisors (see below), whose sum is σ = 10006633728. Its totient is φ = 1241039520.

The previous prime is 3840124243. The next prime is 3840124297. The reversal of 3840124284 is 4824210483.

3840124284 is a `hidden beast` number, since 3 + 8 + 401 + 242 + 8 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170439 + ... + 191649.

It is an arithmetic number, because the mean of its divisors is an integer number (138981024).

Almost surely, 2^3840124284 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 3840124284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5003316864).

3840124284 is an abundant number, since it is smaller than the sum of its proper divisors (6166509444).

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

3840124284 is a wasteful number, since it uses less digits than its factorization.

3840124284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21375 (or 21370 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 3840124284 is about 61968.7363434176. The cubic root of 3840124284 is about 1565.9639505704.

The spelling of 3840124284 in words is "three billion, eight hundred forty million, one hundred twenty-four thousand, two hundred eighty-four".