38288918342416 has 135 divisors (see below), whose sum is σ = 86772856320423. Its totient is φ = 16319466757440.

The previous prime is 38288918342399. The next prime is 38288918342443. The reversal of 38288918342416 is 61424381988283.

The square root of 38288918342416 is 6187804.

It is a perfect power (a square), and thus also a powerful 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 26 ways as a sum of consecutive naturals, for example, 38636647681 + ... + 38636648671.

Almost surely, 2^{38288918342416} is an apocalyptic number.

38288918342416 is the 6187804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38288918342416

38288918342416 is an abundant number, since it is smaller than the sum of its proper divisors (48483937978007).

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

38288918342416 is an frugal number, since it uses more digits than its factorization.

38288918342416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 1223 counting only the distinct ones).

The product of its digits is 127401984, while the sum is 67.

The spelling of 38288918342416 in words is "thirty-eight trillion, two hundred eighty-eight billion, nine hundred eighteen million, three hundred forty-two thousand, four hundred sixteen".