384086177783352 has 448 divisors, whose sum is σ = 1218197459404800. Its totient is φ = 112471361982720.

The previous prime is 384086177783351. The next prime is 384086177783459. The reversal of 384086177783352 is 253387771680483.

384086177783352 is a `hidden beast` number, since 3 + 8 + 40 + 86 + 17 + 77 + 83 + 352 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384086177783351) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 237390138 + ... + 239002614.

It is an arithmetic number, because the mean of its divisors is an integer number (2719190757600).

Almost surely, 2^{384086177783352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384086177783352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609098729702400).

384086177783352 is an abundant number, since it is smaller than the sum of its proper divisors (834111281621448).

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

384086177783352 is a wasteful number, since it uses less digits than its factorization.

384086177783352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612638 (or 1612619 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 72.

The spelling of 384086177783352 in words is "three hundred eighty-four trillion, eighty-six billion, one hundred seventy-seven million, seven hundred eighty-three thousand, three hundred fifty-two".