38630880 has 144 divisors (see below), whose sum is σ = 133464240. Its totient is φ = 10174464.

The previous prime is 38630863. The next prime is 38630881. The reversal of 38630880 is 8803683.

38630880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (38630881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200064 + ... + 200256.

It is an arithmetic number, because the mean of its divisors is an integer number (926835).

Almost surely, 2^38630880 is an apocalyptic number.

38630880 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 38630880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66732120).

38630880 is an abundant number, since it is smaller than the sum of its proper divisors (94833360).

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

38630880 is a wasteful number, since it uses less digits than its factorization.

38630880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38630880 is about 6215.3744859019. The cubic root of 38630880 is about 338.0478673615.

The spelling of 38630880 in words is "thirty-eight million, six hundred thirty thousand, eight hundred eighty".