3680632224 has 240 divisors, whose sum is σ = 11420595648. Its totient is φ = 1160552448.

The previous prime is 3680632217. The next prime is 3680632231. The reversal of 3680632224 is 4222360863.

It is an interprime number because it is at equal distance from previous prime (3680632217) and next prime (3680632231).

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 39 ways as a sum of consecutive naturals, for example, 6378624 + ... + 6379200.

Almost surely, 2^3680632224 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 3680632224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5710297824).

3680632224 is an abundant number, since it is smaller than the sum of its proper divisors (7739963424).

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

3680632224 is a wasteful number, since it uses less digits than its factorization.

3680632224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3680632224 is about 60668.2142806264. The cubic root of 3680632224 is about 1543.9769341593.

The spelling of 3680632224 in words is "three billion, six hundred eighty million, six hundred thirty-two thousand, two hundred twenty-four".