42638976 has 48 divisors (see below), whose sum is σ = 122701410. Its totient is φ = 14212608.

The previous prime is 42638971. The next prime is 42638993. The reversal of 42638976 is 67983624.

42638976 is a `hidden beast` number, since 4 + 2 + 638 + 9 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36288576 + 6350400 = 6024^2 + 2520^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (42638971) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17355 + ... + 19658.

Almost surely, 2^42638976 is an apocalyptic number.

It is an amenable number.

42638976 is an abundant number, since it is smaller than the sum of its proper divisors (80062434).

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

42638976 is a wasteful number, since it uses less digits than its factorization.

42638976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37033 (or 37018 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 42638976 is about 6529.8526782769. The cubic root of 42638976 is about 349.3565757056.

The spelling of 42638976 in words is "forty-two million, six hundred thirty-eight thousand, nine hundred seventy-six".