38295280 has 40 divisors (see below), whose sum is σ = 89583552. Its totient is φ = 15224064.

The previous prime is 38295247. The next prime is 38295319. The reversal of 38295280 is 8259283.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 12457 + ... + 15223.

Almost surely, 2^38295280 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 38295280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44791776).

38295280 is an abundant number, since it is smaller than the sum of its proper divisors (51288272).

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

38295280 is a wasteful number, since it uses less digits than its factorization.

38295280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 38295280 is about 6188.3180267339. The cubic root of 38295280 is about 337.0661054270.

The spelling of 38295280 in words is "thirty-eight million, two hundred ninety-five thousand, two hundred eighty".