38330880 has 320 divisors, whose sum is σ = 150847488. Its totient is φ = 8110080.

The previous prime is 38330867. The next prime is 38330891. The reversal of 38330880 is 8803383.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1236465 + ... + 1236495.

Almost surely, 2^38330880 is an apocalyptic number.

38330880 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 38330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75423744).

38330880 is an abundant number, since it is smaller than the sum of its proper divisors (112516608).

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

38330880 is a wasteful number, since it uses less digits than its factorization.

38330880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 38330880 is about 6191.1937459589. The cubic root of 38330880 is about 337.1705207051.

The spelling of 38330880 in words is "thirty-eight million, three hundred thirty thousand, eight hundred eighty".