385200756 has 144 divisors (see below), whose sum is σ = 1097328960. Its totient is φ = 113218560.

The previous prime is 385200743. The next prime is 385200791. The reversal of 385200756 is 657002583.

385200756 is a `hidden beast` number, since 385 + 200 + 75 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 385200756.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1825491 + ... + 1825701.

It is an arithmetic number, because the mean of its divisors is an integer number (7620340).

Almost surely, 2^385200756 is an apocalyptic number.

385200756 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 385200756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548664480).

385200756 is an abundant number, since it is smaller than the sum of its proper divisors (712128204).

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

385200756 is a wasteful number, since it uses less digits than its factorization.

385200756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 385200756 is about 19626.5319402079. The cubic root of 385200756 is about 727.6050594015.

The spelling of 385200756 in words is "three hundred eighty-five million, two hundred thousand, seven hundred fifty-six".