381989721746880 has 1008 divisors, whose sum is σ = 1428146715419424. Its totient is φ = 93670897582080.

The previous prime is 381989721746861. The next prime is 381989721746891. The reversal of 381989721746880 is 88647127989183.

381989721746880 is a `hidden beast` number, since 3 + 8 + 1 + 9 + 8 + 9 + 72 + 1 + 7 + 468 + 80 = 666.

It is a super-2 number, since 2×381989721746880² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 381989721746880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 203510772502 + ... + 203510774378.

It is an arithmetic number, because the mean of its divisors is an integer number (1416812217678).

Almost surely, 2^{381989721746880} is an apocalyptic number.

381989721746880 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 381989721746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714073357709712).

381989721746880 is an abundant number, since it is smaller than the sum of its proper divisors (1046156993672544).

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

381989721746880 is a wasteful number, since it uses less digits than its factorization.

381989721746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 2341011456, while the sum is 81.

The spelling of 381989721746880 in words is "three hundred eighty-one trillion, nine hundred eighty-nine billion, seven hundred twenty-one million, seven hundred forty-six thousand, eight hundred eighty".