43638000 has 160 divisors (see below), whose sum is σ = 160942080. Its totient is φ = 9964800.

The previous prime is 43637999. The next prime is 43638029. The reversal of 43638000 is 83634.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41481 + ... + 42519.

It is an arithmetic number, because the mean of its divisors is an integer number (1005888).

Almost surely, 2^43638000 is an apocalyptic number.

43638000 is a gapful number since it is divisible by the number (40) 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 43638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80471040).

43638000 is an abundant number, since it is smaller than the sum of its proper divisors (117304080).

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

43638000 is a wasteful number, since it uses less digits than its factorization.

43638000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 43638000 is about 6605.9064480206. The cubic root of 43638000 is about 352.0639949075.

The spelling of 43638000 in words is "forty-three million, six hundred thirty-eight thousand".