381367329084 has 288 divisors, whose sum is σ = 1170027855360. Its totient is φ = 107095613184.

The previous prime is 381367329073. The next prime is 381367329089. The reversal of 381367329084 is 480923763183.

381367329084 is a `hidden beast` number, since 381 + 36 + 73 + 2 + 90 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 381367329084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381367329089) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74672859 + ... + 74677965.

It is an arithmetic number, because the mean of its divisors is an integer number (4062596720).

Almost surely, 2^381367329084 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 381367329084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585013927680).

381367329084 is an abundant number, since it is smaller than the sum of its proper divisors (788660526276).

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

381367329084 is a wasteful number, since it uses less digits than its factorization.

381367329084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5374 (or 5359 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 381367329084 in words is "three hundred eighty-one billion, three hundred sixty-seven million, three hundred twenty-nine thousand, eighty-four".