385373824 has 64 divisors (see below), whose sum is σ = 842503680. Its totient is φ = 174131200.

The previous prime is 385373761. The next prime is 385373831. The reversal of 385373824 is 428373583.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 268212 + ... + 269644.

It is an arithmetic number, because the mean of its divisors is an integer number (13164120).

Almost surely, 2^385373824 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 385373824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421251840).

385373824 is an abundant number, since it is smaller than the sum of its proper divisors (457129856).

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

385373824 is a wasteful number, since it uses less digits than its factorization.

385373824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1637 counting only the distinct ones).

The product of its digits is 483840, while the sum is 43.

The square root of 385373824 is about 19630.9404767067. The cubic root of 385373824 is about 727.7140123704.

It can be divided in two parts, 3853 and 73824, that added together give a palindrome (77677).

The spelling of 385373824 in words is "three hundred eighty-five million, three hundred seventy-three thousand, eight hundred twenty-four".