381567842370 has 256 divisors, whose sum is σ = 1247378227200. Its totient is φ = 81673194240.

The previous prime is 381567842339. The next prime is 381567842459. The reversal of 381567842370 is 73248765183.

It is a happy number.

381567842370 is a `hidden beast` number, since 3 + 8 + 1 + 567 + 8 + 4 + 2 + 3 + 70 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 673191 + ... + 1102869.

It is an arithmetic number, because the mean of its divisors is an integer number (4872571200).

Almost surely, 2^381567842370 is an apocalyptic number.

381567842370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 381567842370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623689113600).

381567842370 is an abundant number, since it is smaller than the sum of its proper divisors (865810384830).

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

381567842370 is a wasteful number, since it uses less digits than its factorization.

381567842370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429742 (or 429736 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 381567842370 in words is "three hundred eighty-one billion, five hundred sixty-seven million, eight hundred forty-two thousand, three hundred seventy".