43038000 has 160 divisors (see below), whose sum is σ = 154365120. Its totient is φ = 11462400.

The previous prime is 43037989. The next prime is 43038007. The reversal of 43038000 is 83034.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (43038007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53602 + ... + 54398.

It is an arithmetic number, because the mean of its divisors is an integer number (964782).

Almost surely, 2^43038000 is an apocalyptic number.

43038000 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 43038000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77182560).

43038000 is an abundant number, since it is smaller than the sum of its proper divisors (111327120).

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

43038000 is a wasteful number, since it uses less digits than its factorization.

43038000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 43038000 is about 6560.3353572817. The cubic root of 43038000 is about 350.4429765264.

The spelling of 43038000 in words is "forty-three million, thirty-eight thousand".