380795400288 has 192 divisors, whose sum is σ = 1160335108800. Its totient is φ = 121340620800.

The previous prime is 380795400247. The next prime is 380795400301. The reversal of 380795400288 is 882004597083.

It is a happy number.

380795400288 is a `hidden beast` number, since 3 + 8 + 0 + 79 + 540 + 0 + 28 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2455420 + ... + 2605892.

It is an arithmetic number, because the mean of its divisors is an integer number (6043412025).

Almost surely, 2^380795400288 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 380795400288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580167554400).

380795400288 is an abundant number, since it is smaller than the sum of its proper divisors (779539708512).

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

380795400288 is a wasteful number, since it uses less digits than its factorization.

380795400288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150622 (or 150608 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 380795400288 in words is "three hundred eighty billion, seven hundred ninety-five million, four hundred thousand, two hundred eighty-eight".