42038864 has 90 divisors (see below), whose sum is σ = 100347930. Its totient is φ = 16990848.

The previous prime is 42038839. The next prime is 42038897. The reversal of 42038864 is 46883024.

It can be written as a sum of positive squares in only one way, i.e., 36240400 + 5798464 = 6020^2 + 2408^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 977627 + ... + 977669.

It is an arithmetic number, because the mean of its divisors is an integer number (1114977).

Almost surely, 2^42038864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42038864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50173965).

42038864 is an abundant number, since it is smaller than the sum of its proper divisors (58309066).

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

42038864 is a wasteful number, since it uses less digits than its factorization.

42038864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 42038864 is about 6483.7384277899. The cubic root of 42038864 is about 347.7098475462.

The spelling of 42038864 in words is "forty-two million, thirty-eight thousand, eight hundred sixty-four".