385692321600 has 840 divisors, whose sum is σ = 1466433224608. Its totient is φ = 99769190400.

The previous prime is 385692321593. The next prime is 385692321611. The reversal of 385692321600 is 6123296583.

385692321600 is a `hidden beast` number, since 3 + 8 + 5 + 6 + 9 + 2 + 32 + 1 + 600 = 666.

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 119 ways as a sum of consecutive naturals, for example, 1165233435 + ... + 1165233765.

Almost surely, 2^385692321600 is an apocalyptic number.

385692321600 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 385692321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733216612304).

385692321600 is an abundant number, since it is smaller than the sum of its proper divisors (1080740903008).

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

385692321600 is an frugal number, since it uses more digits than its factorization.

385692321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 385692321600 in words is "three hundred eighty-five billion, six hundred ninety-two million, three hundred twenty-one thousand, six hundred".