385890120 has 192 divisors, whose sum is σ = 1563719040. Its totient is φ = 80179200.

The previous prime is 385890107. The next prime is 385890121. The reversal of 385890120 is 21098583.

It is a super-2 number, since 2×385890120² = 297822369427228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (385890121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20760 + ... + 34680.

It is an arithmetic number, because the mean of its divisors is an integer number (8144370).

Almost surely, 2^385890120 is an apocalyptic number.

385890120 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 385890120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781859520).

385890120 is an abundant number, since it is smaller than the sum of its proper divisors (1177828920).

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

385890120 is a wasteful number, since it uses less digits than its factorization.

385890120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13956 (or 13949 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 385890120 is about 19644.0861329816. The cubic root of 385890120 is about 728.0388468986.

The spelling of 385890120 in words is "three hundred eighty-five million, eight hundred ninety thousand, one hundred twenty".