385351680 has 240 divisors, whose sum is σ = 1434450600. Its totient is φ = 88080384.

The previous prime is 385351679. The next prime is 385351691. The reversal of 385351680 is 86153583.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55050237 + ... + 55050243.

Almost surely, 2^385351680 is an apocalyptic number.

385351680 is a gapful number since it is divisible by the number (30) 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 385351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717225300).

385351680 is an abundant number, since it is smaller than the sum of its proper divisors (1049098920).

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

385351680 is an frugal number, since it uses more digits than its factorization.

385351680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 385351680 is about 19630.3764609852. The cubic root of 385351680 is about 727.7000736900.

The spelling of 385351680 in words is "three hundred eighty-five million, three hundred fifty-one thousand, six hundred eighty".