38268370944 has 306 divisors, whose sum is σ = 116088273990. Its totient is φ = 12612796416.

The previous prime is 38268370927. The next prime is 38268370969. The reversal of 38268370944 is 44907386283.

38268370944 is a `hidden beast` number, since 3 + 8 + 268 + 370 + 9 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27518828544 + 10749542400 = 165888^2 + 103680^2 .

It is a super-2 number, since 2×38268370944² (a number of 22 digits) contains 22 as substring.

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 429981652 + ... + 429981740.

Almost surely, 2^38268370944 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 38268370944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58044136995).

38268370944 is an abundant number, since it is smaller than the sum of its proper divisors (77819903046).

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

38268370944 is an frugal number, since it uses more digits than its factorization.

38268370944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 38268370944 in words is "thirty-eight billion, two hundred sixty-eight million, three hundred seventy thousand, nine hundred forty-four".