38692896 has 72 divisors (see below), whose sum is σ = 111675312. Its totient is φ = 11721600.

The previous prime is 38692879. The next prime is 38692897. The reversal of 38692896 is 69829683.

It is not an unprimeable number, because it can be changed into a prime (38692897) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9951 + ... + 13281.

It is an arithmetic number, because the mean of its divisors is an integer number (1551046).

Almost surely, 2^38692896 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 38692896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55837656).

38692896 is an abundant number, since it is smaller than the sum of its proper divisors (72982416).

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

38692896 is a wasteful number, since it uses less digits than its factorization.

38692896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3347 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 38692896 is about 6220.3614042916. The cubic root of 38692896 is about 338.2286654533.

The spelling of 38692896 in words is "thirty-eight million, six hundred ninety-two thousand, eight hundred ninety-six".