3682512288 has 288 divisors, whose sum is σ = 13457344320. Its totient is φ = 971066880.

The previous prime is 3682512271. The next prime is 3682512319. The reversal of 3682512288 is 8822152863.

3682512288 is a `hidden beast` number, since 36 + 82 + 512 + 28 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 547023 + ... + 553713.

It is an arithmetic number, because the mean of its divisors is an integer number (46726890).

Almost surely, 2^3682512288 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 3682512288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6728672160).

3682512288 is an abundant number, since it is smaller than the sum of its proper divisors (9774832032).

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

3682512288 is a wasteful number, since it uses less digits than its factorization.

3682512288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6737 (or 6716 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 3682512288 is about 60683.7069401664. The cubic root of 3682512288 is about 1544.2397768060.

The spelling of 3682512288 in words is "three billion, six hundred eighty-two million, five hundred twelve thousand, two hundred eighty-eight".