385114688 has 56 divisors (see below), whose sum is σ = 883993152. Its totient is φ = 163044864.

The previous prime is 385114687. The next prime is 385114699. The reversal of 385114688 is 886411583.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (385114687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32006 + ... + 42362.

It is an arithmetic number, because the mean of its divisors is an integer number (15785592).

Almost surely, 2^385114688 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 385114688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441996576).

385114688 is an abundant number, since it is smaller than the sum of its proper divisors (498878464).

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

385114688 is a wasteful number, since it uses less digits than its factorization.

385114688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10459 (or 10449 counting only the distinct ones).

The product of its digits is 184320, while the sum is 44.

The square root of 385114688 is about 19624.3391735875. The cubic root of 385114688 is about 727.5508641314.

The spelling of 385114688 in words is "three hundred eighty-five million, one hundred fourteen thousand, six hundred eighty-eight".