38018120 has 128 divisors (see below), whose sum is σ = 106272000. Its totient is φ = 12192768.

The previous prime is 38018093. The next prime is 38018131. The reversal of 38018120 is 2181083.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233159 + ... + 233321.

It is an arithmetic number, because the mean of its divisors is an integer number (830250).

Almost surely, 2^38018120 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 38018120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53136000).

38018120 is an abundant number, since it is smaller than the sum of its proper divisors (68253880).

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

38018120 is a wasteful number, since it uses less digits than its factorization.

38018120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 38018120 is about 6165.8835538794. The cubic root of 38018120 is about 336.2509699027.

The spelling of 38018120 in words is "thirty-eight million, eighteen thousand, one hundred twenty".