42038000 has 40 divisors (see below), whose sum is σ = 101652720. Its totient is φ = 16814400.

The previous prime is 42037987. The next prime is 42038021. The reversal of 42038000 is 83024.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 42038000.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8510 + ... + 12509.

It is an arithmetic number, because the mean of its divisors is an integer number (2541318).

Almost surely, 2^42038000 is an apocalyptic number.

42038000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42038000 is an abundant number, since it is smaller than the sum of its proper divisors (59614720).

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

42038000 is a wasteful number, since it uses less digits than its factorization.

42038000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21042 (or 21026 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 42038000 is about 6483.6717992199. The cubic root of 42038000 is about 347.7074654380.

The spelling of 42038000 in words is "forty-two million, thirty-eight thousand".