38533120 has 96 divisors (see below), whose sum is σ = 95528160. Its totient is φ = 14909440.

The previous prime is 38533111. The next prime is 38533133. The reversal of 38533120 is 2133583.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 542685 + ... + 542755.

It is an arithmetic number, because the mean of its divisors is an integer number (995085).

Almost surely, 2^38533120 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 38533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47764080).

38533120 is an abundant number, since it is smaller than the sum of its proper divisors (56995040).

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

38533120 is an equidigital number, since it uses as much as digits as its factorization.

38533120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 38533120 is about 6207.5051349153. The cubic root of 38533120 is about 337.7624698100.

The spelling of 38533120 in words is "thirty-eight million, five hundred thirty-three thousand, one hundred twenty".