384929252352 has 110 divisors (see below), whose sum is σ = 1149474250958. Its totient is φ = 128309723136.

The previous prime is 384929252339. The next prime is 384929252363. The reversal of 384929252352 is 253252929483.

It is a happy number.

384929252352 is a `hidden beast` number, since 3 + 8 + 49 + 29 + 2 + 523 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 309598765056 + 75330487296 = 556416^2 + 274464^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2237473 + ... + 2403360.

Almost surely, 2^384929252352 is an apocalyptic number.

384929252352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

384929252352 is an abundant number, since it is smaller than the sum of its proper divisors (764544998606).

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

384929252352 is an equidigital number, since it uses as much as digits as its factorization.

384929252352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4640865 (or 4640838 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 384929252352 in words is "three hundred eighty-four billion, nine hundred twenty-nine million, two hundred fifty-two thousand, three hundred fifty-two".