3682252224 has 560 divisors, whose sum is σ = 13595738112. Its totient is φ = 961486848.

The previous prime is 3682252219. The next prime is 3682252267. The reversal of 3682252224 is 4222522863.

3682252224 is a `hidden beast` number, since 36 + 82 + 2 + 522 + 24 = 666.

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 79 ways as a sum of consecutive naturals, for example, 28994049 + ... + 28994175.

Almost surely, 2^3682252224 is an apocalyptic number.

3682252224 is a gapful number since it is divisible by the number (34) 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 3682252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6797869056).

3682252224 is an abundant number, since it is smaller than the sum of its proper divisors (9913485888).

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

3682252224 is a wasteful number, since it uses less digits than its factorization.

3682252224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 203 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 3682252224 is about 60681.5641195907. The cubic root of 3682252224 is about 1544.2034238494.

The spelling of 3682252224 in words is "three billion, six hundred eighty-two million, two hundred fifty-two thousand, two hundred twenty-four".