42384096 has 72 divisors (see below), whose sum is σ = 121159584. Its totient is φ = 14054400.

The previous prime is 42384071. The next prime is 42384107. The reversal of 42384096 is 69048324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×42384096³ (a number of 24 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42384096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105496 + ... + 105896.

It is an arithmetic number, because the mean of its divisors is an integer number (1682772).

Almost surely, 2^42384096 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 42384096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60579792).

42384096 is an abundant number, since it is smaller than the sum of its proper divisors (78775488).

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

42384096 is a wasteful number, since it uses less digits than its factorization.

42384096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 42384096 is about 6510.3069052081. The cubic root of 42384096 is about 348.6590760001.

The spelling of 42384096 in words is "forty-two million, three hundred eighty-four thousand, ninety-six".