42938784 has 216 divisors, whose sum is σ = 149778720. Its totient is φ = 11425536.

The previous prime is 42938761. The next prime is 42938807. The reversal of 42938784 is 48783924.

42938784 = 19³ + 20³ + ... + 114³.

It is an interprime number because it is at equal distance from previous prime (42938761) and next prime (42938807).

It is a nude number because it is divisible by every one of its digits.

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 35 ways as a sum of consecutive naturals, for example, 727747 + ... + 727805.

It is an arithmetic number, because the mean of its divisors is an integer number (693420).

Almost surely, 2^42938784 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 42938784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74889360).

42938784 is an abundant number, since it is smaller than the sum of its proper divisors (106839936).

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

42938784 is a wasteful number, since it uses less digits than its factorization.

42938784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 90 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 42938784 is about 6552.7691856192. The cubic root of 42938784 is about 350.1734759080.

The spelling of 42938784 in words is "forty-two million, nine hundred thirty-eight thousand, seven hundred eighty-four".