385329484800 has 2112 divisors, whose sum is σ = 1674452550400. Its totient is φ = 85996339200.

The previous prime is 385329484783. The next prime is 385329484817. The reversal of 385329484800 is 8484923583.

385329484800 is a `hidden beast` number, since 3 + 85 + 3 + 2 + 9 + 484 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (385329484783) and next prime (385329484817).

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, 6316876770 + ... + 6316876830.

Almost surely, 2^385329484800 is an apocalyptic number.

385329484800 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 385329484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837226275200).

385329484800 is an abundant number, since it is smaller than the sum of its proper divisors (1289123065600).

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

385329484800 is a wasteful number, since it uses less digits than its factorization.

385329484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 385329484800 in words is "three hundred eighty-five billion, three hundred twenty-nine million, four hundred eighty-four thousand, eight hundred".