384377590434816 has 264 divisors, whose sum is σ = 1211116212478224. Its totient is φ = 116445743677440.

The previous prime is 384377590434793. The next prime is 384377590434857. The reversal of 384377590434816 is 618434095773483.

384377590434816 is a `hidden beast` number, since 3 + 8 + 4 + 37 + 75 + 9 + 0 + 43 + 481 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×384377590434816² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366152856 + ... + 367201128.

Almost surely, 2^{384377590434816} is an apocalyptic number.

384377590434816 is a gapful number since it is divisible by the number (36) 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 384377590434816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605558106239112).

384377590434816 is an abundant number, since it is smaller than the sum of its proper divisors (826738622043408).

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

384377590434816 is a wasteful number, since it uses less digits than its factorization.

384377590434816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051927 (or 1051906 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 72.

The spelling of 384377590434816 in words is "three hundred eighty-four trillion, three hundred seventy-seven billion, five hundred ninety million, four hundred thirty-four thousand, eight hundred sixteen".