385140032 has 112 divisors (see below), whose sum is σ = 880750080. Its totient is φ = 165888000.

The previous prime is 385139987. The next prime is 385140059. The reversal of 385140032 is 230041583.

It is a super-2 number, since 2×385140032² = 296665688497922048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 385139983 and 385140010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640532 + ... + 641132.

It is an arithmetic number, because the mean of its divisors is an integer number (7863840).

Almost surely, 2^385140032 is an apocalyptic number.

385140032 is a gapful number since it is divisible by the number (32) 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 385140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440375040).

385140032 is an abundant number, since it is smaller than the sum of its proper divisors (495610048).

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

385140032 is a wasteful number, since it uses less digits than its factorization.

385140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 385140032 is about 19624.9848917139. The cubic root of 385140032 is about 727.5668235718.

The spelling of 385140032 in words is "three hundred eighty-five million, one hundred forty thousand, thirty-two".