38242592 has 48 divisors (see below), whose sum is σ = 81849600. Its totient is φ = 17521920.

The previous prime is 38242579. The next prime is 38242597. The reversal of 38242592 is 29524283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38242597) 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, 17834 + ... + 19862.

It is an arithmetic number, because the mean of its divisors is an integer number (1705200).

Almost surely, 2^38242592 is an apocalyptic number.

38242592 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38242592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40924800).

38242592 is an abundant number, since it is smaller than the sum of its proper divisors (43607008).

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

38242592 is a wasteful number, since it uses less digits than its factorization.

38242592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2081 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 38242592 is about 6184.0595081225. The cubic root of 38242592 is about 336.9114519916.

The spelling of 38242592 in words is "thirty-eight million, two hundred forty-two thousand, five hundred ninety-two".