3821684040 has 48 divisors (see below), whose sum is σ = 12420474300. Its totient is φ = 1019115648.

The previous prime is 3821684033. The next prime is 3821684077. The reversal of 3821684040 is 404861283.

3821684040 is a `hidden beast` number, since 38 + 216 + 8 + 404 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3463793316 + 357890724 = 58854^2 + 18918^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3821683986 and 3821684004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5307535 + ... + 5308254.

Almost surely, 2^3821684040 is an apocalyptic number.

3821684040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3821684040 is an abundant number, since it is smaller than the sum of its proper divisors (8598790260).

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

3821684040 is a wasteful number, since it uses less digits than its factorization.

3821684040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10615806 (or 10615799 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3821684040 is about 61819.7706239679. The cubic root of 3821684040 is about 1563.4533458007.

The spelling of 3821684040 in words is "three billion, eight hundred twenty-one million, six hundred eighty-four thousand, forty".