38081280 has 144 divisors (see below), whose sum is σ = 124798464. Its totient is φ = 9891840.

The previous prime is 38081269. The next prime is 38081297. The reversal of 38081280 is 8218083.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 180375 + ... + 180585.

It is an arithmetic number, because the mean of its divisors is an integer number (866656).

Almost surely, 2^38081280 is an apocalyptic number.

38081280 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 38081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62399232).

38081280 is an abundant number, since it is smaller than the sum of its proper divisors (86717184).

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

38081280 is a wasteful number, since it uses less digits than its factorization.

38081280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 38081280 is about 6171.0031599409. The cubic root of 38081280 is about 336.4370729270.

The spelling of 38081280 in words is "thirty-eight million, eighty-one thousand, two hundred eighty".