38409280 has 112 divisors (see below), whose sum is σ = 112654080. Its totient is φ = 12146688.

The previous prime is 38409271. The next prime is 38409299. The reversal of 38409280 is 8290483.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 28461 + ... + 29779.

It is an arithmetic number, because the mean of its divisors is an integer number (1005840).

Almost surely, 2^38409280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38409280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56327040).

38409280 is an abundant number, since it is smaller than the sum of its proper divisors (74244800).

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

38409280 is a wasteful number, since it uses less digits than its factorization.

38409280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 38409280 is about 6197.5220854790. The cubic root of 38409280 is about 337.4002412065.

The spelling of 38409280 in words is "thirty-eight million, four hundred nine thousand, two hundred eighty".