38064096 has 144 divisors (see below), whose sum is σ = 125798400. Its totient is φ = 10692864.

The previous prime is 38064079. The next prime is 38064097. The reversal of 38064096 is 69046083.

38064096 is a `hidden beast` number, since 3 + 8 + 0 + 640 + 9 + 6 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 38064096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38064097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159145 + ... + 159383.

It is an arithmetic number, because the mean of its divisors is an integer number (873600).

Almost surely, 2^38064096 is an apocalyptic number.

38064096 is a gapful number since it is divisible by the number (36) 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 38064096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

38064096 is an abundant number, since it is smaller than the sum of its proper divisors (87734304).

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

38064096 is a wasteful number, since it uses less digits than its factorization.

38064096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 38064096 is about 6169.6106846381. The cubic root of 38064096 is about 336.3864600933.

The spelling of 38064096 in words is "thirty-eight million, sixty-four thousand, ninety-six".