380468684400 has 480 divisors, whose sum is σ = 1468088179200. Its totient is φ = 82280448000.

The previous prime is 380468684359. The next prime is 380468684413. The reversal of 380468684400 is 4486864083.

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 95 ways as a sum of consecutive naturals, for example, 237643600 + ... + 237645200.

It is an arithmetic number, because the mean of its divisors is an integer number (3058517040).

Almost surely, 2^380468684400 is an apocalyptic number.

380468684400 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 380468684400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734044089600).

380468684400 is an abundant number, since it is smaller than the sum of its proper divisors (1087619494800).

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

380468684400 is a wasteful number, since it uses less digits than its factorization.

380468684400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 51.

The spelling of 380468684400 in words is "three hundred eighty billion, four hundred sixty-eight million, six hundred eighty-four thousand, four hundred".