38842048 has 56 divisors (see below), whose sum is σ = 88688672. Its totient is φ = 16533504.

The previous prime is 38842043. The next prime is 38842051. The reversal of 38842048 is 84024883.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 38841998 and 38842016.

It is not an unprimeable number, because it can be changed into a prime (38842043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123940 + ... + 124252.

Almost surely, 2^38842048 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 38842048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44344336).

38842048 is an abundant number, since it is smaller than the sum of its proper divisors (49846624).

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

38842048 is a wasteful number, since it uses less digits than its factorization.

38842048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 38842048 is about 6232.3388868065. The cubic root of 38842048 is about 338.6627055013.

It can be divided in two parts, 388 and 42048, that added together give a square (42436 = 206²).

The spelling of 38842048 in words is "thirty-eight million, eight hundred forty-two thousand, forty-eight".