385765632 has 432 divisors, whose sum is σ = 1426057920. Its totient is φ = 102187008.

The previous prime is 385765631. The next prime is 385765651. The reversal of 385765632 is 236567583.

385765632 is a `hidden beast` number, since 3 + 8 + 5 + 7 + 6 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

Its product of digits (907200) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (385765631) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5757663 + ... + 5757729.

It is an arithmetic number, because the mean of its divisors is an integer number (3301060).

Almost surely, 2^385765632 is an apocalyptic number.

385765632 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 385765632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713028960).

385765632 is an abundant number, since it is smaller than the sum of its proper divisors (1040292288).

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

385765632 is a wasteful number, since it uses less digits than its factorization.

385765632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 96 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 385765632 is about 19640.9172901878. The cubic root of 385765632 is about 727.9605501305.

The spelling of 385765632 in words is "three hundred eighty-five million, seven hundred sixty-five thousand, six hundred thirty-two".