3682581408 has 336 divisors, whose sum is σ = 12057486336. Its totient is φ = 1097349120.

The previous prime is 3682581403. The next prime is 3682581437. The reversal of 3682581408 is 8041852863.

3682581408 is a `hidden beast` number, since 3 + 68 + 2 + 581 + 4 + 0 + 8 = 666.

It is a super-2 number, since 2×3682581408² = 27122811653094524928, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3682581401) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28996641 + ... + 28996767.

It is an arithmetic number, because the mean of its divisors is an integer number (35885376).

Almost surely, 2^3682581408 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 3682581408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6028743168).

3682581408 is an abundant number, since it is smaller than the sum of its proper divisors (8374904928).

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

3682581408 is a wasteful number, since it uses less digits than its factorization.

3682581408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 3682581408 is about 60684.2764478576. The cubic root of 3682581408 is about 1544.2494384334.

The spelling of 3682581408 in words is "three billion, six hundred eighty-two million, five hundred eighty-one thousand, four hundred eight".