42378336 has 384 divisors, whose sum is σ = 169344000. Its totient is φ = 10160640.

The previous prime is 42378319. The next prime is 42378353. The reversal of 42378336 is 63387324.

It is an interprime number because it is at equal distance from previous prime (42378319) and next prime (42378353).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (72576) is a multiple of the sum of its prime divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42378336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3259866 + ... + 3259878.

It is an arithmetic number, because the mean of its divisors is an integer number (441000).

Almost surely, 2^42378336 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 42378336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672000).

42378336 is an abundant number, since it is smaller than the sum of its proper divisors (126965664).

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

42378336 is a wasteful number, since it uses less digits than its factorization.

42378336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 36 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 42378336 is about 6509.8645147192. The cubic root of 42378336 is about 348.6432810248.

The spelling of 42378336 in words is "forty-two million, three hundred seventy-eight thousand, three hundred thirty-six".