385647609600 has 648 divisors, whose sum is σ = 1559897993472. Its totient is φ = 93486182400.

The previous prime is 385647609559. The next prime is 385647609649. The reversal of 385647609600 is 6906746583.

385647609600 is a `hidden beast` number, since 3 + 8 + 564 + 76 + 0 + 9 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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 71 ways as a sum of consecutive naturals, for example, 17095929 + ... + 17118471.

Almost surely, 2^385647609600 is an apocalyptic number.

385647609600 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 385647609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779948996736).

385647609600 is an abundant number, since it is smaller than the sum of its proper divisors (1174250383872).

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

385647609600 is a wasteful number, since it uses less digits than its factorization.

385647609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22595 (or 22564 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 385647609600 in words is "three hundred eighty-five billion, six hundred forty-seven million, six hundred nine thousand, six hundred".