38755434496 has 51 divisors (see below), whose sum is σ = 77611202301. Its totient is φ = 19352518656.

The previous prime is 38755434467. The next prime is 38755434503. The reversal of 38755434496 is 69443455783.

The square root of 38755434496 is 196864.

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

It can be written as a sum of positive squares in only one way, i.e., 15162474496 + 23592960000 = 123136^2 + 153600^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38755434496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 50396800 + ... + 50397568.

Almost surely, 2^38755434496 is an apocalyptic number.

38755434496 is the 196864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38755434496

38755434496 is an abundant number, since it is smaller than the sum of its proper divisors (38855767805).

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

38755434496 is an frugal number, since it uses more digits than its factorization.

38755434496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 771 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 58.

The spelling of 38755434496 in words is "thirty-eight billion, seven hundred fifty-five million, four hundred thirty-four thousand, four hundred ninety-six".