384860876400 has 3240 divisors, whose sum is σ = 1962379451760. Its totient is φ = 68976230400.

The previous prime is 384860876399. The next prime is 384860876443. The reversal of 384860876400 is 4678068483.

384860876400 is a `hidden beast` number, since 3 + 84 + 86 + 0 + 87 + 6 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 5272066764 + ... + 5272066836.

Almost surely, 2^384860876400 is an apocalyptic number.

384860876400 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 384860876400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981189725880).

384860876400 is an abundant number, since it is smaller than the sum of its proper divisors (1577518575360).

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

384860876400 is a wasteful number, since it uses less digits than its factorization.

384860876400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 384860876400 in words is "three hundred eighty-four billion, eight hundred sixty million, eight hundred seventy-six thousand, four hundred".