380916006912 has 952 divisors, whose sum is σ = 1402807824576. Its totient is φ = 100902371328.

The previous prime is 380916006869. The next prime is 380916006917. The reversal of 380916006912 is 219600619083.

It is a happy number.

380916006912 is a `hidden beast` number, since 38 + 0 + 9 + 1 + 600 + 6 + 9 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (952).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380916006917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5685313503 + ... + 5685313569.

Almost surely, 2^380916006912 is an apocalyptic number.

380916006912 is a gapful number since it is divisible by the number (32) 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 380916006912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701403912288).

380916006912 is an abundant number, since it is smaller than the sum of its proper divisors (1021891817664).

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

380916006912 is an frugal number, since it uses more digits than its factorization.

380916006912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 380916006912 in words is "three hundred eighty billion, nine hundred sixteen million, six thousand, nine hundred twelve".