380446434072 has 96 divisors (see below), whose sum is σ = 1058870919600. Its totient is φ = 123312575232.

The previous prime is 380446434047. The next prime is 380446434097. The reversal of 380446434072 is 270434644083.

380446434072 is a `hidden beast` number, since 3 + 80 + 4 + 464 + 3 + 40 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (380446434047) and next prime (380446434097).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4398054 + ... + 4483722.

Almost surely, 2^380446434072 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 380446434072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529435459800).

380446434072 is an abundant number, since it is smaller than the sum of its proper divisors (678424485528).

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

380446434072 is a wasteful number, since it uses less digits than its factorization.

380446434072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87385 (or 87378 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 380446434072 in words is "three hundred eighty billion, four hundred forty-six million, four hundred thirty-four thousand, seventy-two".