38248160 has 48 divisors (see below), whose sum is σ = 90792576. Its totient is φ = 15226368.

The previous prime is 38248157. The next prime is 38248193. The reversal of 38248160 is 6184283.

38248160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43889 + ... + 44751.

It is an arithmetic number, because the mean of its divisors is an integer number (1891512).

Almost surely, 2^38248160 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 38248160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45396288).

38248160 is an abundant number, since it is smaller than the sum of its proper divisors (52544416).

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

38248160 is a wasteful number, since it uses less digits than its factorization.

38248160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 38248160 is about 6184.5096814541. The cubic root of 38248160 is about 336.9278022774.

The spelling of 38248160 in words is "thirty-eight million, two hundred forty-eight thousand, one hundred sixty".