3866281632 has 288 divisors, whose sum is σ = 11919870144. Its totient is φ = 1231718400.

The previous prime is 3866281619. The next prime is 3866281637. The reversal of 3866281632 is 2361826683.

It is a happy number.

3866281632 is a `hidden beast` number, since 3 + 8 + 6 + 6 + 2 + 8 + 1 + 632 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3866281637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21360582 + ... + 21360762.

It is an arithmetic number, because the mean of its divisors is an integer number (41388438).

Almost surely, 2^3866281632 is an apocalyptic number.

3866281632 is a gapful number since it is divisible by the number (32) 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 3866281632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5959935072).

3866281632 is an abundant number, since it is smaller than the sum of its proper divisors (8053588512).

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

3866281632 is a wasteful number, since it uses less digits than its factorization.

3866281632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 294 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 3866281632 is about 62179.4309398212. The cubic root of 3866281632 is about 1569.5114755225.

The spelling of 3866281632 in words is "three billion, eight hundred sixty-six million, two hundred eighty-one thousand, six hundred thirty-two".