38175120 has 120 divisors (see below), whose sum is σ = 131761656. Its totient is φ = 9897984.

The previous prime is 38175113. The next prime is 38175121. The reversal of 38175120 is 2157183.

It can be written as a sum of positive squares in 4 ways, for example, as 16941456 + 21233664 = 4116^2 + 4608^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38175121) 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, 25924 + ... + 27356.

Almost surely, 2^38175120 is an apocalyptic number.

38175120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38175120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65880828).

38175120 is an abundant number, since it is smaller than the sum of its proper divisors (93586536).

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

38175120 is a wasteful number, since it uses less digits than its factorization.

38175120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 38175120 is about 6178.6017835753. The cubic root of 38175120 is about 336.7131959784.

The spelling of 38175120 in words is "thirty-eight million, one hundred seventy-five thousand, one hundred twenty".