3682620288 has 192 divisors, whose sum is σ = 11063772720. Its totient is φ = 1219276800.

The previous prime is 3682620283. The next prime is 3682620289. The reversal of 3682620288 is 8820262863.

3682620288 is a `hidden beast` number, since 368 + 2 + 6 + 2 + 0 + 288 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3682620283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6127188 + ... + 6127788.

Almost surely, 2^3682620288 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 3682620288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5531886360).

3682620288 is an abundant number, since it is smaller than the sum of its proper divisors (7381152432).

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

3682620288 is an equidigital number, since it uses as much as digits as its factorization.

3682620288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 3682620288 is about 60684.5967935851. The cubic root of 3682620288 is about 1544.2548730457.

The spelling of 3682620288 in words is "three billion, six hundred eighty-two million, six hundred twenty thousand, two hundred eighty-eight".