38087280 has 320 divisors, whose sum is σ = 164275200. Its totient is φ = 7879680.

The previous prime is 38087263. The next prime is 38087281. The reversal of 38087280 is 8278083.

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 (38087281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166206 + ... + 166434.

It is an arithmetic number, because the mean of its divisors is an integer number (513360).

Almost surely, 2^38087280 is an apocalyptic number.

38087280 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 38087280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82137600).

38087280 is an abundant number, since it is smaller than the sum of its proper divisors (126187920).

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

38087280 is a wasteful number, since it uses less digits than its factorization.

38087280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 38087280 is about 6171.4892854156. The cubic root of 38087280 is about 336.4547414195.

The spelling of 38087280 in words is "thirty-eight million, eighty-seven thousand, two hundred eighty".