42738444 has 72 divisors (see below), whose sum is σ = 124281248. Its totient is φ = 12130560.

The previous prime is 42738433. The next prime is 42738457. The reversal of 42738444 is 44483724.

It is a happy number.

It is a super-2 number, since 2×42738444² = 3653149191082272, which contains 22 as substring.

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 = 42738399 and 42738408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45144 + ... + 46080.

Almost surely, 2^42738444 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 42738444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62140624).

42738444 is an abundant number, since it is smaller than the sum of its proper divisors (81542804).

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

42738444 is a wasteful number, since it uses less digits than its factorization.

42738444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1130 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 42738444 is about 6537.4646461759. The cubic root of 42738444 is about 349.6280238555.

The spelling of 42738444 in words is "forty-two million, seven hundred thirty-eight thousand, four hundred forty-four".