384049294272 has 560 divisors, whose sum is σ = 1379495344128. Its totient is φ = 103307581440.

The previous prime is 384049294229. The next prime is 384049294283. The reversal of 384049294272 is 272492940483.

384049294272 is a `hidden beast` number, since 3 + 8 + 40 + 49 + 294 + 272 = 666.

384049294272 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 79 ways as a sum of consecutive naturals, for example, 41617723 + ... + 41626949.

Almost surely, 2^384049294272 is an apocalyptic number.

384049294272 is a gapful number since it is divisible by the number (32) 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 384049294272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689747672064).

384049294272 is an abundant number, since it is smaller than the sum of its proper divisors (995446049856).

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

384049294272 is a wasteful number, since it uses less digits than its factorization.

384049294272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9326 (or 9307 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 384049294272 in words is "three hundred eighty-four billion, forty-nine million, two hundred ninety-four thousand, two hundred seventy-two".