385680690000 has 500 divisors, whose sum is σ = 1402553979684. Its totient is φ = 102283776000.

The previous prime is 385680689959. The next prime is 385680690023. The reversal of 385680690000 is 96086583.

It can be written as a sum of positive squares in 10 ways, for example, as 68950357056 + 316730332944 = 262584^2 + 562788^2 .

It is a tau number, because it is divible by the number of its divisors (500).

It is a super-2 number, since 2×385680690000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 159568792 + ... + 159571208.

Almost surely, 2^385680690000 is an apocalyptic number.

385680690000 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 385680690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701276989842).

385680690000 is an abundant number, since it is smaller than the sum of its proper divisors (1016873289684).

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

385680690000 is a wasteful number, since it uses less digits than its factorization.

385680690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 385680690000 in words is "three hundred eighty-five billion, six hundred eighty million, six hundred ninety thousand".