38189269407744 has 2880 divisors, whose sum is σ = 157149767174400. Its totient is φ = 9115898609664.

The previous prime is 38189269407739. The next prime is 38189269407899. The reversal of 38189269407744 is 44770496298183.

38189269407744 is a `hidden beast` number, since 3 + 8 + 1 + 8 + 92 + 69 + 407 + 74 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 46178076259 + ... + 46178077085.

It is an arithmetic number, because the mean of its divisors is an integer number (54565891380).

Almost surely, 2^{38189269407744} 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 38189269407744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78574883587200).

38189269407744 is an abundant number, since it is smaller than the sum of its proper divisors (118960497766656).

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

38189269407744 is a wasteful number, since it uses less digits than its factorization.

38189269407744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 38189269407744 in words is "thirty-eight trillion, one hundred eighty-nine billion, two hundred sixty-nine million, four hundred seven thousand, seven hundred forty-four".