42686784 has 112 divisors (see below), whose sum is σ = 143459200. Its totient is φ = 12192768.

The previous prime is 42686759. The next prime is 42686801. The reversal of 42686784 is 48768624.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×42686784³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10332 + ... + 13860.

Almost surely, 2^42686784 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 42686784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71729600).

42686784 is an abundant number, since it is smaller than the sum of its proper divisors (100772416).

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

42686784 is a wasteful number, since it uses less digits than its factorization.

42686784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3557 (or 3541 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 42686784 is about 6533.5123784990. The cubic root of 42686784 is about 349.4870963572.

The spelling of 42686784 in words is "forty-two million, six hundred eighty-six thousand, seven hundred eighty-four".