385759764 has 72 divisors (see below), whose sum is σ = 1062882912. Its totient is φ = 117253440.

The previous prime is 385759763. The next prime is 385759771. The reversal of 385759764 is 467957583.

385759764 is a `hidden beast` number, since 3 + 8 + 575 + 9 + 7 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 385759764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385759763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33879 + ... + 43809.

Almost surely, 2^385759764 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 385759764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531441456).

385759764 is an abundant number, since it is smaller than the sum of its proper divisors (677123148).

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

385759764 is a wasteful number, since it uses less digits than its factorization.

385759764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10037 (or 10032 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 385759764 is about 19640.7679075947. The cubic root of 385759764 is about 727.9568590343.

The spelling of 385759764 in words is "three hundred eighty-five million, seven hundred fifty-nine thousand, seven hundred sixty-four".