38441593134 has 192 divisors, whose sum is σ = 100966694400. Its totient is φ = 10342515456.

The previous prime is 38441593129. The next prime is 38441593147. The reversal of 38441593134 is 43139514483.

38441593134 is a `hidden beast` number, since 3 + 8 + 4 + 41 + 593 + 13 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38441593134.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16940952 + ... + 16943220.

It is an arithmetic number, because the mean of its divisors is an integer number (525868200).

Almost surely, 2^38441593134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38441593134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50483347200).

38441593134 is an abundant number, since it is smaller than the sum of its proper divisors (62525101266).

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

38441593134 is a wasteful number, since it uses less digits than its factorization.

38441593134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2436 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 38441593134 in words is "thirty-eight billion, four hundred forty-one million, five hundred ninety-three thousand, one hundred thirty-four".