43748640 has 384 divisors, whose sum is σ = 177811200. Its totient is φ = 9953280.

The previous prime is 43748611. The next prime is 43748641. The reversal of 43748640 is 4684734.

43748640 is a `hidden beast` number, since 4 + 3 + 7 + 4 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 43748595 and 43748604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43748641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1067020 + ... + 1067060.

It is an arithmetic number, because the mean of its divisors is an integer number (463050).

Almost surely, 2^43748640 is an apocalyptic number.

43748640 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 43748640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88905600).

43748640 is an abundant number, since it is smaller than the sum of its proper divisors (134062560).

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

43748640 is a wasteful number, since it uses less digits than its factorization.

43748640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 43748640 is about 6614.2754705259. The cubic root of 43748640 is about 352.3612853935.

The spelling of 43748640 in words is "forty-three million, seven hundred forty-eight thousand, six hundred forty".