42630336 has 168 divisors, whose sum is σ = 142382240. Its totient is φ = 11943936.

The previous prime is 42630307. The next prime is 42630347. The reversal of 42630336 is 63303624.

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 391050 + ... + 391158.

Almost surely, 2^42630336 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 42630336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71191120).

42630336 is an abundant number, since it is smaller than the sum of its proper divisors (99751904).

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

42630336 is a wasteful number, since it uses less digits than its factorization.

42630336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 42630336 is about 6529.1910678123. The cubic root of 42630336 is about 349.3329772284.

The spelling of 42630336 in words is "forty-two million, six hundred thirty thousand, three hundred thirty-six".