3843673344 has 288 divisors, whose sum is σ = 13757264640. Its totient is φ = 1033371648.

The previous prime is 3843673333. The next prime is 3843673373. The reversal of 3843673344 is 4433763483.

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

It is a super-2 number, since 2×3843673344² = 29547649550752284672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3843673344.

It is a congruent number.

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, 820192 + ... + 824864.

It is an arithmetic number, because the mean of its divisors is an integer number (47768280).

Almost surely, 2^3843673344 is an apocalyptic number.

3843673344 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 3843673344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6878632320).

3843673344 is an abundant number, since it is smaller than the sum of its proper divisors (9913591296).

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

3843673344 is a wasteful number, since it uses less digits than its factorization.

3843673344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4722 (or 4702 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 45.

The square root of 3843673344 is about 61997.3656214520. The cubic root of 3843673344 is about 1566.4462256510.

The spelling of 3843673344 in words is "three billion, eight hundred forty-three million, six hundred seventy-three thousand, three hundred forty-four".