38508120 has 288 divisors, whose sum is σ = 152053200. Its totient is φ = 8418816.

The previous prime is 38508101. The next prime is 38508131. The reversal of 38508120 is 2180583.

It is a happy number.

38508120 is a `hidden beast` number, since 38 + 508 + 120 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 652651 + ... + 652709.

Almost surely, 2^38508120 is an apocalyptic number.

38508120 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 38508120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76026600).

38508120 is an abundant number, since it is smaller than the sum of its proper divisors (113545080).

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

38508120 is a wasteful number, since it uses less digits than its factorization.

38508120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 38508120 is about 6205.4911167449. The cubic root of 38508120 is about 337.6894080859.

The spelling of 38508120 in words is "thirty-eight million, five hundred eight thousand, one hundred twenty".