38398160 has 40 divisors (see below), whose sum is σ = 90295560. Its totient is φ = 15183872.

The previous prime is 38398153. The next prime is 38398163. The reversal of 38398160 is 6189383.

It can be written as a sum of positive squares in 4 ways, for example, as 6948496 + 31449664 = 2636^2 + 5608^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38398163) by changing a digit.

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, 4424 + ... + 9816.

It is an arithmetic number, because the mean of its divisors is an integer number (2257389).

Almost surely, 2^38398160 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 38398160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45147780).

38398160 is an abundant number, since it is smaller than the sum of its proper divisors (51897400).

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

38398160 is a wasteful number, since it uses less digits than its factorization.

38398160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5495 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 38398160 is about 6196.6248877917. The cubic root of 38398160 is about 337.3676774370.

The spelling of 38398160 in words is "thirty-eight million, three hundred ninety-eight thousand, one hundred sixty".