3687223680 has 448 divisors, whose sum is σ = 15117501600. Its totient is φ = 842047488.

The previous prime is 3687223637. The next prime is 3687223691. The reversal of 3687223680 is 863227863.

3687223680 is a `hidden beast` number, since 368 + 7 + 223 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3265356 + ... + 3266484.

Almost surely, 2^3687223680 is an apocalyptic number.

3687223680 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 3687223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7558750800).

3687223680 is an abundant number, since it is smaller than the sum of its proper divisors (11430277920).

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

3687223680 is an equidigital number, since it uses as much as digits as its factorization.

3687223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3687223680 is about 60722.5137819573. The cubic root of 3687223680 is about 1544.8980609526.

The spelling of 3687223680 in words is "three billion, six hundred eighty-seven million, two hundred twenty-three thousand, six hundred eighty".