38741335668 has 96 divisors (see below), whose sum is σ = 114975974400. Its totient is φ = 11050937568.

The previous prime is 38741335627. The next prime is 38741335709. The reversal of 38741335668 is 86653314783.

38741335668 is a `hidden beast` number, since 3 + 8 + 7 + 41 + 33 + 566 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (38741335627) and next prime (38741335709).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426571 + ... + 509357.

It is an arithmetic number, because the mean of its divisors is an integer number (1197666400).

Almost surely, 2^38741335668 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 38741335668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57487987200).

38741335668 is an abundant number, since it is smaller than the sum of its proper divisors (76234638732).

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

38741335668 is a wasteful number, since it uses less digits than its factorization.

38741335668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83426 (or 83418 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

It can be divided in two parts, 38741335 and 668, that added together give a triangular number (38742003 = T₈₈₀₂).

The spelling of 38741335668 in words is "thirty-eight billion, seven hundred forty-one million, three hundred thirty-five thousand, six hundred sixty-eight".