385109120 has 96 divisors (see below), whose sum is σ = 1012159260. Its totient is φ = 140011520.

The previous prime is 385109113. The next prime is 385109147. The reversal of 385109120 is 21901583.

It can be written as a sum of positive squares in 2 ways, for example, as 385101376 + 7744 = 19624^2 + 88^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74954 + ... + 79926.

Almost surely, 2^385109120 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 385109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506079630).

385109120 is an abundant number, since it is smaller than the sum of its proper divisors (627050140).

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

385109120 is a wasteful number, since it uses less digits than its factorization.

385109120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5014 (or 4991 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 385109120 is about 19624.1973084251. The cubic root of 385109120 is about 727.5473577970.

The spelling of 385109120 in words is "three hundred eighty-five million, one hundred nine thousand, one hundred twenty".