385034624 has 128 divisors (see below), whose sum is σ = 873936000. Its totient is φ = 167731200.

The previous prime is 385034591. The next prime is 385034627. The reversal of 385034624 is 426430583.

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

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385034627) 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 15 ways as a sum of consecutive naturals, for example, 3812174 + ... + 3812274.

It is an arithmetic number, because the mean of its divisors is an integer number (6827625).

Almost surely, 2^385034624 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 385034624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436968000).

385034624 is an abundant number, since it is smaller than the sum of its proper divisors (488901376).

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

385034624 is a wasteful number, since it uses less digits than its factorization.

385034624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 385034624 is about 19622.2991517304. The cubic root of 385034624 is about 727.5004422083.

The spelling of 385034624 in words is "three hundred eighty-five million, thirty-four thousand, six hundred twenty-four".