38578320 has 120 divisors (see below), whose sum is σ = 141365952. Its totient is φ = 9350400.

The previous prime is 38578301. The next prime is 38578327. The reversal of 38578320 is 2387583.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (38578327) 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, 5485 + ... + 10355.

Almost surely, 2^38578320 is an apocalyptic number.

38578320 is a gapful number since it is divisible by the number (30) 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 38578320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70682976).

38578320 is an abundant number, since it is smaller than the sum of its proper divisors (102787632).

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

38578320 is a wasteful number, since it uses less digits than its factorization.

38578320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4901 (or 4892 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 38578320 is about 6211.1448220115. The cubic root of 38578320 is about 337.8944852303.

The spelling of 38578320 in words is "thirty-eight million, five hundred seventy-eight thousand, three hundred twenty".