3687220224 has 176 divisors, whose sum is σ = 10992226240. Its totient is φ = 1220935680.

The previous prime is 3687220217. The next prime is 3687220261. The reversal of 3687220224 is 4220227863.

It is a happy number.

3687220224 is a `hidden beast` number, since 368 + 72 + 2 + 0 + 224 = 666.

It is a super-2 number, since 2×3687220224² = 27191185960549220352, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 5335719 + ... + 5336409.

Almost surely, 2^3687220224 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 3687220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496113120).

3687220224 is an abundant number, since it is smaller than the sum of its proper divisors (7305006016).

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

3687220224 is a wasteful number, since it uses less digits than its factorization.

3687220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3687220224 is about 60722.4853246308. The cubic root of 3687220224 is about 1544.8975782797.

The spelling of 3687220224 in words is "three billion, six hundred eighty-seven million, two hundred twenty thousand, two hundred twenty-four".