38494368 has 144 divisors (see below), whose sum is σ = 123832800. Its totient is φ = 11235840.

The previous prime is 38494349. The next prime is 38494411. The reversal of 38494368 is 86349483.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91663 + ... + 92081.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 2^38494368 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 38494368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61916400).

38494368 is an abundant number, since it is smaller than the sum of its proper divisors (85338432).

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

38494368 is a wasteful number, since it uses less digits than its factorization.

38494368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 464 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 38494368 is about 6204.3829669033. The cubic root of 38494368 is about 337.6492048105.

It can be divided in two parts, 3849436 and 8, that added together give a square (3849444 = 1962²).

The spelling of 38494368 in words is "thirty-eight million, four hundred ninety-four thousand, three hundred sixty-eight".