38314368 has 96 divisors (see below), whose sum is σ = 111914400. Its totient is φ = 12579840.

The previous prime is 38314361. The next prime is 38314373. The reversal of 38314368 is 86341383.

It is a happy number.

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

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38314361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90798 + ... + 91218.

It is an arithmetic number, because the mean of its divisors is an integer number (1165775).

Almost surely, 2^38314368 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 38314368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55957200).

38314368 is an abundant number, since it is smaller than the sum of its proper divisors (73600032).

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

38314368 is a wasteful number, since it uses less digits than its factorization.

38314368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 505 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 38314368 is about 6189.8600953495. The cubic root of 38314368 is about 337.1220988300.

The spelling of 38314368 in words is "thirty-eight million, three hundred fourteen thousand, three hundred sixty-eight".