38253280 has 96 divisors (see below), whose sum is σ = 99447264. Its totient is φ = 13817856.

The previous prime is 38253239. The next prime is 38253307. The reversal of 38253280 is 8235283.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110067 + ... + 110413.

It is an arithmetic number, because the mean of its divisors is an integer number (1035909).

Almost surely, 2^38253280 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 38253280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49723632).

38253280 is an abundant number, since it is smaller than the sum of its proper divisors (61193984).

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

38253280 is a wasteful number, since it uses less digits than its factorization.

38253280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 38253280 is about 6184.9236050254. The cubic root of 38253280 is about 336.9428356226.

The spelling of 38253280 in words is "thirty-eight million, two hundred fifty-three thousand, two hundred eighty".