42738624 has 56 divisors (see below), whose sum is σ = 125648720. Its totient is φ = 14245632.

The previous prime is 42738611. The next prime is 42738637. The reversal of 42738624 is 42683724.

42738624 is a `hidden beast` number, since 4 + 27 + 3 + 8 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (42738611) and next prime (42738637).

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10639 + ... + 14094.

Almost surely, 2^42738624 is an apocalyptic number.

It is an amenable number.

42738624 is an abundant number, since it is smaller than the sum of its proper divisors (82910096).

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

42738624 is a wasteful number, since it uses less digits than its factorization.

42738624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24754 (or 24738 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 42738624 is about 6537.4784129663. The cubic root of 42738624 is about 349.6285146935.

The spelling of 42738624 in words is "forty-two million, seven hundred thirty-eight thousand, six hundred twenty-four".