385866624 has 128 divisors (see below), whose sum is σ = 1204318080. Its totient is φ = 107919360.

The previous prime is 385866623. The next prime is 385866683. The reversal of 385866624 is 426668583.

385866624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385866623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51399 + ... + 58425.

It is an arithmetic number, because the mean of its divisors is an integer number (9408735).

Almost surely, 2^385866624 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 385866624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602159040).

385866624 is an abundant number, since it is smaller than the sum of its proper divisors (818451456).

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

385866624 is a wasteful number, since it uses less digits than its factorization.

385866624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7068 (or 7056 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The square root of 385866624 is about 19643.4880812955. The cubic root of 385866624 is about 728.0240703711.

The spelling of 385866624 in words is "three hundred eighty-five million, eight hundred sixty-six thousand, six hundred twenty-four".