385004064936960 has 3520 divisors, whose sum is σ = 1653804117504000. Its totient is φ = 85578014785536.

The previous prime is 385004064936923. The next prime is 385004064936977. The reversal of 385004064936960 is 69639460400583.

It is a happy number.

385004064936960 is a `hidden beast` number, since 3 + 8 + 50 + 0 + 4 + 0 + 6 + 493 + 6 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1681240458126 + ... + 1681240458354.

It is an arithmetic number, because the mean of its divisors is an integer number (469830715200).

Almost surely, 2^{385004064936960} is an apocalyptic number.

385004064936960 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 385004064936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826902058752000).

385004064936960 is an abundant number, since it is smaller than the sum of its proper divisors (1268800052567040).

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

385004064936960 is a wasteful number, since it uses less digits than its factorization.

385004064936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 385004064936960 in words is "three hundred eighty-five trillion, four billion, sixty-four million, nine hundred thirty-six thousand, nine hundred sixty".