38352160 has 144 divisors (see below), whose sum is σ = 114222528. Its totient is φ = 11911680.

The previous prime is 38352133. The next prime is 38352161. The reversal of 38352160 is 6125383.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38352161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135379 + ... + 135661.

It is an arithmetic number, because the mean of its divisors is an integer number (793212).

Almost surely, 2^38352160 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 38352160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57111264).

38352160 is an abundant number, since it is smaller than the sum of its proper divisors (75870368).

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

38352160 is a wasteful number, since it uses less digits than its factorization.

38352160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 38352160 is about 6192.9120775286. The cubic root of 38352160 is about 337.2329043613.

It can be divided in two parts, 3835 and 2160, that added together give a palindrome (5995).

The spelling of 38352160 in words is "thirty-eight million, three hundred fifty-two thousand, one hundred sixty".