38059280 has 160 divisors (see below), whose sum is σ = 110112000. Its totient is φ = 12192768.

The previous prime is 38059279. The next prime is 38059291. The reversal of 38059280 is 8295083.

It is a super-3 number, since 3×38059280³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 38059280.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521324 + ... + 521396.

It is an arithmetic number, because the mean of its divisors is an integer number (688200).

Almost surely, 2^38059280 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 38059280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55056000).

38059280 is an abundant number, since it is smaller than the sum of its proper divisors (72052720).

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

38059280 is a wasteful number, since it uses less digits than its factorization.

38059280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 38059280 is about 6169.2203721378. The cubic root of 38059280 is about 336.3722725719.

The spelling of 38059280 in words is "thirty-eight million, fifty-nine thousand, two hundred eighty".