385951986000 has 960 divisors, whose sum is σ = 1678963253760. Its totient is φ = 83004825600.

The previous prime is 385951985929. The next prime is 385951986061. The reversal of 385951986000 is 689159583.

It is a happy number.

385951986000 is a `hidden beast` number, since 38 + 595 + 19 + 8 + 6 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109240234 + ... + 109243766.

It is an arithmetic number, because the mean of its divisors is an integer number (1748920056).

Almost surely, 2^385951986000 is an apocalyptic number.

385951986000 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 385951986000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839481626880).

385951986000 is an abundant number, since it is smaller than the sum of its proper divisors (1293011267760).

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

385951986000 is a wasteful number, since it uses less digits than its factorization.

385951986000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 385951986000 in words is "three hundred eighty-five billion, nine hundred fifty-one million, nine hundred eighty-six thousand".