380234844326160 has 200 divisors, whose sum is σ = 1320715173770520. Its totient is φ = 101388032667648.

The previous prime is 380234844326069. The next prime is 380234844326173. The reversal of 380234844326160 is 61623448432083.

380234844326160 is a `hidden beast` number, since 3 + 8 + 0 + 2 + 3 + 48 + 4 + 432 + 6 + 160 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35578886758416 + 344655957567744 = 5964804^2 + 18564912^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 380234844326097 and 380234844326106.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80844984 + ... + 85418856.

Almost surely, 2^{380234844326160} is an apocalyptic number.

380234844326160 is a gapful number since it is divisible by the number (30) 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 380234844326160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660357586885260).

380234844326160 is an abundant number, since it is smaller than the sum of its proper divisors (940480329444360).

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

380234844326160 is a wasteful number, since it uses less digits than its factorization.

380234844326160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4586727 (or 4586712 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 380234844326160 in words is "three hundred eighty trillion, two hundred thirty-four billion, eight hundred forty-four million, three hundred twenty-six thousand, one hundred sixty".