38840526400 has 189 divisors, whose sum is σ = 103762953891. Its totient is φ = 14303278080.

The previous prime is 38840526377. The next prime is 38840526419. The reversal of 38840526400 is 462504883.

The square root of 38840526400 is 197080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10011203136 + 28829323264 = 100056^2 + 169792^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 102481411 + ... + 102481789.

Almost surely, 2^38840526400 is an apocalyptic number.

38840526400 is the 197080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38840526400

38840526400 is an abundant number, since it is smaller than the sum of its proper divisors (64922427491).

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

38840526400 is an equidigital number, since it uses as much as digits as its factorization.

38840526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 38840526400 in words is "thirty-eight billion, eight hundred forty million, five hundred twenty-six thousand, four hundred".