3681342720 has 648 divisors, whose sum is σ = 14843119200. Its totient is φ = 839393280.

The previous prime is 3681342677. The next prime is 3681342793. The reversal of 3681342720 is 272431863.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26484411 + ... + 26484549.

Almost surely, 2^3681342720 is an apocalyptic number.

3681342720 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 3681342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7421559600).

3681342720 is an abundant number, since it is smaller than the sum of its proper divisors (11161776480).

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

3681342720 is a wasteful number, since it uses less digits than its factorization.

3681342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3681342720 is about 60674.0695849553. The cubic root of 3681342720 is about 1544.0762756845.

The spelling of 3681342720 in words is "three billion, six hundred eighty-one million, three hundred forty-two thousand, seven hundred twenty".