384956044200 has 864 divisors, whose sum is σ = 1644065710560. Its totient is φ = 79993267200.

The previous prime is 384956044181. The next prime is 384956044229. The reversal of 384956044200 is 2440659483.

384956044200 is a `hidden beast` number, since 3 + 8 + 49 + 560 + 4 + 42 + 0 + 0 = 666.

It is a super-2 number, since 2×384956044200² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 76819695 + ... + 76824705.

Almost surely, 2^384956044200 is an apocalyptic number.

384956044200 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 384956044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822032855280).

384956044200 is an abundant number, since it is smaller than the sum of its proper divisors (1259109666360).

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

384956044200 is a wasteful number, since it uses less digits than its factorization.

384956044200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5127 (or 5108 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 384956044200 in words is "three hundred eighty-four billion, nine hundred fifty-six million, forty-four thousand, two hundred".