38540826324 has 288 divisors, whose sum is σ = 136557590400. Its totient is φ = 9240376320.

The previous prime is 38540826287. The next prime is 38540826329. The reversal of 38540826324 is 42362804583.

38540826324 is a `hidden beast` number, since 3 + 8 + 5 + 4 + 0 + 8 + 2 + 632 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38540826324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38540826329) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 731292 + ... + 782220.

It is an arithmetic number, because the mean of its divisors is an integer number (474158300).

Almost surely, 2^38540826324 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 38540826324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68278795200).

38540826324 is an abundant number, since it is smaller than the sum of its proper divisors (98016764076).

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

38540826324 is a wasteful number, since it uses less digits than its factorization.

38540826324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50980 (or 50965 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 38540826324 in words is "thirty-eight billion, five hundred forty million, eight hundred twenty-six thousand, three hundred twenty-four".