42388704 has 96 divisors (see below), whose sum is σ = 125556480. Its totient is φ = 13910400.

The previous prime is 42388679. The next prime is 42388721. The reversal of 42388704 is 40788324.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 60999 + ... + 61689.

It is an arithmetic number, because the mean of its divisors is an integer number (1307880).

Almost surely, 2^42388704 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 42388704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62778240).

42388704 is an abundant number, since it is smaller than the sum of its proper divisors (83167776).

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

42388704 is a wasteful number, since it uses less digits than its factorization.

42388704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 42388704 is about 6510.6607959561. The cubic root of 42388704 is about 348.6717109501.

The spelling of 42388704 in words is "forty-two million, three hundred eighty-eight thousand, seven hundred four".