3681522720 has 288 divisors, whose sum is σ = 13442934960. Its totient is φ = 914227200.

The previous prime is 3681522683. The next prime is 3681522731. The reversal of 3681522720 is 272251863.

3681522720 is a `hidden beast` number, since 3 + 68 + 1 + 522 + 72 + 0 = 666.

3681522720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2616936336 + 1064586384 = 51156^2 + 32628^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2471736 + ... + 2473224.

Almost surely, 2^3681522720 is an apocalyptic number.

3681522720 is a gapful number since it is divisible by the number (30) 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 3681522720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6721467480).

3681522720 is an abundant number, since it is smaller than the sum of its proper divisors (9761412240).

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

3681522720 is a wasteful number, since it uses less digits than its factorization.

3681522720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3681522720 is about 60675.5529023016. The cubic root of 3681522720 is about 1544.1014412487.

The spelling of 3681522720 in words is "three billion, six hundred eighty-one million, five hundred twenty-two thousand, seven hundred twenty".