3681520272 has 120 divisors (see below), whose sum is σ = 10973532024. Its totient is φ = 1148178432.

The previous prime is 3681520261. The next prime is 3681520301. The reversal of 3681520272 is 2720251863.

3681520272 is a `hidden beast` number, since 3 + 68 + 1 + 520 + 2 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 851705856 + 2829814416 = 29184^2 + 53196^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419158 + ... + 427850.

Almost surely, 2^3681520272 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 3681520272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486766012).

3681520272 is an abundant number, since it is smaller than the sum of its proper divisors (7292011752).

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

3681520272 is a wasteful number, since it uses less digits than its factorization.

3681520272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8897 (or 8888 counting only the distinct ones).

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

The square root of 3681520272 is about 60675.5327294289. The cubic root of 3681520272 is about 1544.1010990026.

The spelling of 3681520272 in words is "three billion, six hundred eighty-one million, five hundred twenty thousand, two hundred seventy-two".