385309696 has 44 divisors (see below), whose sum is σ = 773323848. Its totient is φ = 191885312.

The previous prime is 385309693. The next prime is 385309699. The reversal of 385309696 is 696903583.

It is an interprime number because it is at equal distance from previous prime (385309693) and next prime (385309699).

It is a super-2 number, since 2×385309696² = 296927123663224832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385309693) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 324015 + ... + 325201.

It is an arithmetic number, because the mean of its divisors is an integer number (17575542).

Almost surely, 2^385309696 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 385309696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386661924).

385309696 is an abundant number, since it is smaller than the sum of its proper divisors (388014152).

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

385309696 is a wasteful number, since it uses less digits than its factorization.

385309696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 49.

The square root of 385309696 is about 19629.3070687684. The cubic root of 385309696 is about 727.6736451304.

The spelling of 385309696 in words is "three hundred eighty-five million, three hundred nine thousand, six hundred ninety-six".