380120648328300 has 288 divisors, whose sum is σ = 1238418161164800. Its totient is φ = 89209349222400.

The previous prime is 380120648328241. The next prime is 380120648328347. The reversal of 380120648328300 is 3823846021083.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 380120648328300.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16475812 + ... + 32119988.

It is an arithmetic number, because the mean of its divisors is an integer number (4300063059600).

Almost surely, 2^{380120648328300} is an apocalyptic number.

380120648328300 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 380120648328300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619209080582400).

380120648328300 is an abundant number, since it is smaller than the sum of its proper divisors (858297512836500).

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

380120648328300 is a wasteful number, since it uses less digits than its factorization.

380120648328300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15644441 (or 15644434 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 380120648328300 in words is "three hundred eighty trillion, one hundred twenty billion, six hundred forty-eight million, three hundred twenty-eight thousand, three hundred".