384644340 has 36 divisors (see below), whose sum is σ = 1166755044. Its totient is φ = 102571776.

The previous prime is 384644339. The next prime is 384644347. The reversal of 384644340 is 43446483.

384644340 is a `hidden beast` number, since 3 + 8 + 4 + 644 + 3 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 211353444 + 173290896 = 14538^2 + 13164^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 384644295 and 384644304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384644347) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1068277 + ... + 1068636.

Almost surely, 2^384644340 is an apocalyptic number.

384644340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384644340 is an abundant number, since it is smaller than the sum of its proper divisors (782110704).

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

384644340 is a wasteful number, since it uses less digits than its factorization.

384644340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136928 (or 2136923 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 384644340 is about 19612.3517202808. The cubic root of 384644340 is about 727.2545528318.

It can be divided in two parts, 3846443 and 40, that added together give a palindrome (3846483).

The spelling of 384644340 in words is "three hundred eighty-four million, six hundred forty-four thousand, three hundred forty".