38342349864 has 336 divisors, whose sum is σ = 135044893620. Its totient is φ = 10111288320.

The previous prime is 38342349853. The next prime is 38342349889. The reversal of 38342349864 is 46894324383.

It can be written as a sum of positive squares in 2 ways, for example, as 37310012964 + 1032336900 = 193158^2 + 32130^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 38342349864.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3709824 + ... + 3720144.

Almost surely, 2^38342349864 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 38342349864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67522446810).

38342349864 is an abundant number, since it is smaller than the sum of its proper divisors (96702543756).

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

38342349864 is a wasteful number, since it uses less digits than its factorization.

38342349864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10372 (or 10346 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 38342349864 in words is "thirty-eight billion, three hundred forty-two million, three hundred forty-nine thousand, eight hundred sixty-four".