385197696 has 288 divisors, whose sum is σ = 1282308300. Its totient is φ = 110297088.

The previous prime is 385197689. The next prime is 385197707. The reversal of 385197696 is 696791583.

385197696 is a `hidden beast` number, since 38 + 519 + 7 + 6 + 96 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 167340096 + 217857600 = 12936^2 + 14760^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4328020 + ... + 4328108.

Almost surely, 2^385197696 is an apocalyptic number.

385197696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385197696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641154150).

385197696 is an abundant number, since it is smaller than the sum of its proper divisors (897110604).

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

385197696 is a wasteful number, since it uses less digits than its factorization.

385197696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 124 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 385197696 is about 19626.4539843549. The cubic root of 385197696 is about 727.6031327201.

The spelling of 385197696 in words is "three hundred eighty-five million, one hundred ninety-seven thousand, six hundred ninety-six".