42735978 has 64 divisors (see below), whose sum is σ = 104371200. Its totient is φ = 12901680.

The previous prime is 42735971. The next prime is 42735989. The reversal of 42735978 is 87953724.

It is not an unprimeable number, because it can be changed into a prime (42735971) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 22693 + ... + 24503.

It is an arithmetic number, because the mean of its divisors is an integer number (1630800).

Almost surely, 2^42735978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42735978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52185600).

42735978 is an abundant number, since it is smaller than the sum of its proper divisors (61635222).

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

42735978 is a wasteful number, since it uses less digits than its factorization.

42735978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1858 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 42735978 is about 6537.2760382288. The cubic root of 42735978 is about 349.6212992363.

The spelling of 42735978 in words is "forty-two million, seven hundred thirty-five thousand, nine hundred seventy-eight".