42038656 has 64 divisors (see below), whose sum is σ = 92840400. Its totient is φ = 18800640.

The previous prime is 42038629. The next prime is 42038663. The reversal of 42038656 is 65683024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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, 102580 + ... + 102988.

Almost surely, 2^42038656 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 42038656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46420200).

42038656 is an abundant number, since it is smaller than the sum of its proper divisors (50801744).

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

42038656 is a wasteful number, since it uses less digits than its factorization.

42038656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 42038656 is about 6483.7223876412. The cubic root of 42038656 is about 347.7092740787.

The spelling of 42038656 in words is "forty-two million, thirty-eight thousand, six hundred fifty-six".