380969866368 has 576 divisors, whose sum is σ = 1417749016320. Its totient is φ = 97228615680.

The previous prime is 380969866357. The next prime is 380969866393. The reversal of 380969866368 is 863668969083.

380969866368 is a `hidden beast` number, since 38 + 0 + 96 + 98 + 66 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×380969866368² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 380969866296 and 380969866305.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22740171 + ... + 22756917.

It is an arithmetic number, because the mean of its divisors is an integer number (2461369820).

Almost surely, 2^380969866368 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 380969866368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708874508160).

380969866368 is an abundant number, since it is smaller than the sum of its proper divisors (1036779149952).

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

380969866368 is a wasteful number, since it uses less digits than its factorization.

380969866368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16825 (or 16803 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 380969866368 in words is "three hundred eighty billion, nine hundred sixty-nine million, eight hundred sixty-six thousand, three hundred sixty-eight".