38683296 has 72 divisors (see below), whose sum is σ = 116491284. Its totient is φ = 12134400.

The previous prime is 38683289. The next prime is 38683301. The reversal of 38683296 is 69238683.

It can be written as a sum of positive squares in 2 ways, for example, as 36433296 + 2250000 = 6036^2 + 1500^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 946 + ... + 8846.

Almost surely, 2^38683296 is an apocalyptic number.

38683296 is a gapful number since it is divisible by the number (36) 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 38683296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58245642).

38683296 is an abundant number, since it is smaller than the sum of its proper divisors (77807988).

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

38683296 is a wasteful number, since it uses less digits than its factorization.

38683296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7934 (or 7923 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 38683296 is about 6219.5896970781. The cubic root of 38683296 is about 338.2006907766.

The spelling of 38683296 in words is "thirty-eight million, six hundred eighty-three thousand, two hundred ninety-six".