38535120 has 240 divisors, whose sum is σ = 146240640. Its totient is φ = 9022464.

The previous prime is 38535089. The next prime is 38535127. The reversal of 38535120 is 2153583.

38535120 is a `hidden beast` number, since 3 + 8 + 535 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38535127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215191 + ... + 215369.

It is an arithmetic number, because the mean of its divisors is an integer number (609336).

Almost surely, 2^38535120 is an apocalyptic number.

38535120 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 38535120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

38535120 is an abundant number, since it is smaller than the sum of its proper divisors (107705520).

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

38535120 is a wasteful number, since it uses less digits than its factorization.

38535120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 38535120 is about 6207.6662281408. Note that the first 3 decimals coincide. The cubic root of 38535120 is about 337.7683133826.

The spelling of 38535120 in words is "thirty-eight million, five hundred thirty-five thousand, one hundred twenty".