3821820408 has 224 divisors, whose sum is σ = 12371011200. Its totient is φ = 1083772224.

The previous prime is 3821820397. The next prime is 3821820433. The reversal of 3821820408 is 8040281283.

It is a happy number.

3821820408 is a `hidden beast` number, since 38 + 218 + 2 + 0 + 408 = 666.

It is a super-2 number, since 2×3821820408² = 29212622462010572928, which contains 22 as substring.

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 55 ways as a sum of consecutive naturals, for example, 7307235 + ... + 7307757.

Almost surely, 2^3821820408 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 3821820408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6185505600).

3821820408 is an abundant number, since it is smaller than the sum of its proper divisors (8549190792).

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

3821820408 is a wasteful number, since it uses less digits than its factorization.

3821820408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 3821820408 is about 61820.8735622524. The cubic root of 3821820408 is about 1563.4719416577.

The spelling of 3821820408 in words is "three billion, eight hundred twenty-one million, eight hundred twenty thousand, four hundred eight".