3682821384 has 256 divisors, whose sum is σ = 11988000000. Its totient is φ = 1035141120.

The previous prime is 3682821371. The next prime is 3682821391. The reversal of 3682821384 is 4831282863.

3682821384 is a `hidden beast` number, since 368 + 282 + 1 + 3 + 8 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 2947992 + ... + 2949240.

It is an arithmetic number, because the mean of its divisors is an integer number (46828125).

Almost surely, 2^3682821384 is an apocalyptic number.

3682821384 is a gapful number since it is divisible by the number (34) 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 3682821384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5994000000).

3682821384 is an abundant number, since it is smaller than the sum of its proper divisors (8305178616).

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

3682821384 is a wasteful number, since it uses less digits than its factorization.

3682821384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1355 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 3682821384 is about 60686.2536658838. The cubic root of 3682821384 is about 1544.2829814578.

The spelling of 3682821384 in words is "three billion, six hundred eighty-two million, eight hundred twenty-one thousand, three hundred eighty-four".