385921536 has 320 divisors, whose sum is σ = 1385911296. Its totient is φ = 92160000.

The previous prime is 385921519. The next prime is 385921553. The reversal of 385921536 is 635129583.

It is an interprime number because it is at equal distance from previous prime (385921519) and next prime (385921553).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1537411 + ... + 1537661.

Almost surely, 2^385921536 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 385921536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692955648).

385921536 is an abundant number, since it is smaller than the sum of its proper divisors (999989760).

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

385921536 is a wasteful number, since it uses less digits than its factorization.

385921536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 287 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 385921536 is about 19644.8857466772. The cubic root of 385921536 is about 728.0586033410.

The spelling of 385921536 in words is "three hundred eighty-five million, nine hundred twenty-one thousand, five hundred thirty-six".