3643981824 has 360 divisors, whose sum is σ = 12102819120. Its totient is φ = 968884224.

The previous prime is 3643981811. The next prime is 3643981829. The reversal of 3643981824 is 4281893463.

It is a super-3 number, since 3×3643981824³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3643981829) 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, 40943572 + ... + 40943660.

It is an arithmetic number, because the mean of its divisors is an integer number (33618942).

Almost surely, 2^3643981824 is an apocalyptic number.

3643981824 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 3643981824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6051409560).

3643981824 is an abundant number, since it is smaller than the sum of its proper divisors (8458837296).

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

3643981824 is an equidigital number, since it uses as much as digits as its factorization.

3643981824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 118 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 3643981824 is about 60365.4025415221. The cubic root of 3643981824 is about 1538.8350418356.

The spelling of 3643981824 in words is "three billion, six hundred forty-three million, nine hundred eighty-one thousand, eight hundred twenty-four".