4386181632 has 320 divisors, whose sum is σ = 14000532480. Its totient is φ = 1194246144.

The previous prime is 4386181619. The next prime is 4386181663. The reversal of 4386181632 is 2361816834.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24503719 + ... + 24503897.

It is an arithmetic number, because the mean of its divisors is an integer number (43751664).

Almost surely, 2^4386181632 is an apocalyptic number.

4386181632 is a gapful number since it is divisible by the number (42) 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 4386181632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7000266240).

4386181632 is an abundant number, since it is smaller than the sum of its proper divisors (9614350848).

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

4386181632 is a wasteful number, since it uses less digits than its factorization.

4386181632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 287 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 4386181632 is about 66228.2540310403. The cubic root of 4386181632 is about 1636.9253358060.

The spelling of 4386181632 in words is "four billion, three hundred eighty-six million, one hundred eighty-one thousand, six hundred thirty-two".