38681280 has 336 divisors, whose sum is σ = 154045920. Its totient is φ = 9123840.

The previous prime is 38681267. The next prime is 38681299. The reversal of 38681280 is 8218683.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1045422 + ... + 1045458.

It is an arithmetic number, because the mean of its divisors is an integer number (458470).

Almost surely, 2^38681280 is an apocalyptic number.

38681280 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 38681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77022960).

38681280 is an abundant number, since it is smaller than the sum of its proper divisors (115364640).

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

38681280 is a wasteful number, since it uses less digits than its factorization.

38681280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 38681280 is about 6219.4276263978. The cubic root of 38681280 is about 338.1948155065.

The spelling of 38681280 in words is "thirty-eight million, six hundred eighty-one thousand, two hundred eighty".