385681601 has 8 divisors (see below), whose sum is σ = 411586560. Its totient is φ = 360134208.

The previous prime is 385681579. The next prime is 385681609. The reversal of 385681601 is 106186583.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-385681601 is a prime.

It is a super-3 number, since 3×385681601³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (385681609) 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, 87161 + ... + 91478.

It is an arithmetic number, because the mean of its divisors is an integer number (51448320).

Almost surely, 2^385681601 is an apocalyptic number.

It is an amenable number.

385681601 is a deficient number, since it is larger than the sum of its proper divisors (25904959).

385681601 is a wasteful number, since it uses less digits than its factorization.

385681601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178783.

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 385681601 is about 19638.7779915146. Note that the first 3 decimals coincide. The cubic root of 385681601 is about 727.9076892827.

The spelling of 385681601 in words is "three hundred eighty-five million, six hundred eighty-one thousand, six hundred one".