38131296 has 96 divisors (see below), whose sum is σ = 115395840. Its totient is φ = 10799616.

The previous prime is 38131267. The next prime is 38131297. The reversal of 38131296 is 69213183.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38131297) 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 15 ways as a sum of consecutive naturals, for example, 120130 + ... + 120446.

It is an arithmetic number, because the mean of its divisors is an integer number (1202040).

Almost surely, 2^38131296 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 38131296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57697920).

38131296 is an abundant number, since it is smaller than the sum of its proper divisors (77264544).

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

38131296 is a wasteful number, since it uses less digits than its factorization.

38131296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 508 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 38131296 is about 6175.0543317448. The cubic root of 38131296 is about 336.5843007779.

The spelling of 38131296 in words is "thirty-eight million, one hundred thirty-one thousand, two hundred ninety-six".