38738592 has 72 divisors (see below), whose sum is σ = 113742720. Its totient is φ = 12493440.

The previous prime is 38738591. The next prime is 38738627. The reversal of 38738592 is 29583783.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (38738591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6759 + ... + 11097.

It is an arithmetic number, because the mean of its divisors is an integer number (1579760).

Almost surely, 2^38738592 is an apocalyptic number.

38738592 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 38738592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56871360).

38738592 is an abundant number, since it is smaller than the sum of its proper divisors (75004128).

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

38738592 is a wasteful number, since it uses less digits than its factorization.

38738592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4386 (or 4375 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 38738592 is about 6224.0334189334. The cubic root of 38738592 is about 338.3617615194.

The spelling of 38738592 in words is "thirty-eight million, seven hundred thirty-eight thousand, five hundred ninety-two".