385294536 has 128 divisors (see below), whose sum is σ = 1205452800. Its totient is φ = 112968000.

The previous prime is 385294531. The next prime is 385294541. The reversal of 385294536 is 635492583.

It is an interprime number because it is at equal distance from previous prime (385294531) and next prime (385294541).

It is a junction number, because it is equal to n+sod(n) for n = 385294491 and 385294500.

It is not an unprimeable number, because it can be changed into a prime (385294531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71041 + ... + 76271.

It is an arithmetic number, because the mean of its divisors is an integer number (9417600).

Almost surely, 2^385294536 is an apocalyptic number.

385294536 is a gapful number since it is divisible by the number (36) 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 385294536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602726400).

385294536 is an abundant number, since it is smaller than the sum of its proper divisors (820158264).

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

385294536 is a wasteful number, since it uses less digits than its factorization.

385294536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5288 (or 5278 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 385294536 is about 19628.9209076811. The cubic root of 385294536 is about 727.6641015717.

The spelling of 385294536 in words is "three hundred eighty-five million, two hundred ninety-four thousand, five hundred thirty-six".