43680384 has 160 divisors (see below), whose sum is σ = 142179840. Its totient is φ = 13201920.

The previous prime is 43680349. The next prime is 43680391. The reversal of 43680384 is 48308634.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 113857 + ... + 114239.

It is an arithmetic number, because the mean of its divisors is an integer number (888624).

Almost surely, 2^43680384 is an apocalyptic number.

43680384 is a gapful number since it is divisible by the number (44) 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 43680384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71089920).

43680384 is an abundant number, since it is smaller than the sum of its proper divisors (98499456).

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

43680384 is a wasteful number, since it uses less digits than its factorization.

43680384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 43680384 is about 6609.1137076010. The cubic root of 43680384 is about 352.1779403368.

The spelling of 43680384 in words is "forty-three million, six hundred eighty thousand, three hundred eighty-four".