38368512 has 288 divisors, whose sum is σ = 141935360. Its totient is φ = 9953280.

The previous prime is 38368511. The next prime is 38368529. The reversal of 38368512 is 21586383.

38368512 is a `hidden beast` number, since 3 + 83 + 68 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38368511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628962 + ... + 629022.

Almost surely, 2^38368512 is an apocalyptic number.

38368512 is a gapful number since it is divisible by the number (32) 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 38368512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70967680).

38368512 is an abundant number, since it is smaller than the sum of its proper divisors (103566848).

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

38368512 is a wasteful number, since it uses less digits than its factorization.

38368512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 86 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 38368512 is about 6194.2321558043. The cubic root of 38368512 is about 337.2808255990.

The spelling of 38368512 in words is "thirty-eight million, three hundred sixty-eight thousand, five hundred twelve".