3681270216 has 144 divisors (see below), whose sum is σ = 11364958800. Its totient is φ = 1073015424.

The previous prime is 3681270209. The next prime is 3681270277. The reversal of 3681270216 is 6120721863.

3681270216 is a `hidden beast` number, since 368 + 1 + 270 + 21 + 6 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 223231 + ... + 239153.

It is an arithmetic number, because the mean of its divisors is an integer number (78923325).

Almost surely, 2^3681270216 is an apocalyptic number.

3681270216 is a gapful number since it is divisible by the number (36) 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 3681270216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5682479400).

3681270216 is an abundant number, since it is smaller than the sum of its proper divisors (7683688584).

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

3681270216 is a wasteful number, since it uses less digits than its factorization.

3681270216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15980 (or 15960 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3681270216 is about 60673.4720944829. The cubic root of 3681270216 is about 1544.0661387635.

The spelling of 3681270216 in words is "three billion, six hundred eighty-one million, two hundred seventy thousand, two hundred sixteen".