382038203123280 has 960 divisors, whose sum is σ = 1567112845858560. Its totient is φ = 85140171325440.

The previous prime is 382038203123279. The next prime is 382038203123303. The reversal of 382038203123280 is 82321302830283.

382038203123280 is a `hidden beast` number, since 3 + 8 + 2 + 0 + 3 + 8 + 2 + 0 + 312 + 328 + 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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 190054344 + ... + 192053976.

It is an arithmetic number, because the mean of its divisors is an integer number (1632409214436).

Almost surely, 2^{382038203123280} is an apocalyptic number.

382038203123280 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 382038203123280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783556422929280).

382038203123280 is an abundant number, since it is smaller than the sum of its proper divisors (1185074642735280).

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

382038203123280 is a wasteful number, since it uses less digits than its factorization.

382038203123280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999737 (or 1999714 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 382038203123280 in words is "three hundred eighty-two trillion, thirty-eight billion, two hundred three million, one hundred twenty-three thousand, two hundred eighty".