380846822400 has 1188 divisors, whose sum is σ = 1579927003200. Its totient is φ = 87345561600.

The previous prime is 380846822329. The next prime is 380846822401. The reversal of 380846822400 is 4228648083.

380846822400 is a `hidden beast` number, since 380 + 8 + 46 + 8 + 224 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380846822401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 529689241 + ... + 529689959.

Almost surely, 2^380846822400 is an apocalyptic number.

380846822400 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 380846822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789963501600).

380846822400 is an abundant number, since it is smaller than the sum of its proper divisors (1199080180800).

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

380846822400 is a wasteful number, since it uses less digits than its factorization.

380846822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 380846822400 in words is "three hundred eighty billion, eight hundred forty-six million, eight hundred twenty-two thousand, four hundred".