42738066 has 48 divisors (see below), whose sum is σ = 107640000. Its totient is φ = 12001824.

The previous prime is 42738019. The next prime is 42738077. The reversal of 42738066 is 66083724.

It is a self number, because there is not a number n which added to its sum of digits gives 42738066.

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, 4560 + ... + 10308.

It is an arithmetic number, because the mean of its divisors is an integer number (2242500).

Almost surely, 2^42738066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42738066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53820000).

42738066 is an abundant number, since it is smaller than the sum of its proper divisors (64901934).

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

42738066 is a wasteful number, since it uses less digits than its factorization.

42738066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5823 (or 5820 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 42738066 is about 6537.4357358218. The cubic root of 42738066 is about 349.6269930913.

The spelling of 42738066 in words is "forty-two million, seven hundred thirty-eight thousand, sixty-six".