38107296 has 72 divisors (see below), whose sum is σ = 108972864. Its totient is φ = 12631680.

The previous prime is 38107291. The next prime is 38107379. The reversal of 38107296 is 69270183.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 38107296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38107291) 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, 88201 + ... + 88631.

It is an arithmetic number, because the mean of its divisors is an integer number (1513512).

Almost surely, 2^38107296 is an apocalyptic number.

38107296 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 38107296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54486432).

38107296 is an abundant number, since it is smaller than the sum of its proper divisors (70865568).

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

38107296 is a wasteful number, since it uses less digits than its factorization.

38107296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 38107296 is about 6173.1107231282. The cubic root of 38107296 is about 336.5136700935.

The spelling of 38107296 in words is "thirty-eight million, one hundred seven thousand, two hundred ninety-six".