384138547200 has 780 divisors, whose sum is σ = 1472929701540. Its totient is φ = 98842705920.

The previous prime is 384138547181. The next prime is 384138547237. The reversal of 384138547200 is 2745831483.

384138547200 is a `hidden beast` number, since 3 + 84 + 1 + 3 + 8 + 547 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 31473598464 + 352664948736 = 177408^2 + 593856^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 240536802 + ... + 240538398.

Almost surely, 2^384138547200 is an apocalyptic number.

384138547200 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 384138547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736464850770).

384138547200 is an abundant number, since it is smaller than the sum of its proper divisors (1088791154340).

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

384138547200 is a wasteful number, since it uses less digits than its factorization.

384138547200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 384138547200 in words is "three hundred eighty-four billion, one hundred thirty-eight million, five hundred forty-seven thousand, two hundred".