38393568 has 96 divisors (see below), whose sum is σ = 115103520. Its totient is φ = 12441600.

The previous prime is 38393567. The next prime is 38393569. The reversal of 38393568 is 86539383.

38393568 is a `hidden beast` number, since 3 + 83 + 9 + 3 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (38393567) and next prime (38393569).

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 (38393561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31368 + ... + 32568.

It is an arithmetic number, because the mean of its divisors is an integer number (1198995).

Almost surely, 2^38393568 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 38393568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57551760).

38393568 is an abundant number, since it is smaller than the sum of its proper divisors (76709952).

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

38393568 is a wasteful number, since it uses less digits than its factorization.

38393568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1243 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 38393568 is about 6196.2543524294. The cubic root of 38393568 is about 337.3542284060.

The spelling of 38393568 in words is "thirty-eight million, three hundred ninety-three thousand, five hundred sixty-eight".