38268711360 has 672 divisors, whose sum is σ = 152543865600. Its totient is φ = 8956569600.

The previous prime is 38268711331. The next prime is 38268711413. The reversal of 38268711360 is 6311786283.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 91333231 + ... + 91333649.

It is an arithmetic number, because the mean of its divisors is an integer number (226999800).

Almost surely, 2^38268711360 is an apocalyptic number.

38268711360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38268711360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76271932800).

38268711360 is an abundant number, since it is smaller than the sum of its proper divisors (114275154240).

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

38268711360 is a wasteful number, since it uses less digits than its factorization.

38268711360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 38268711360 in words is "thirty-eight billion, two hundred sixty-eight million, seven hundred eleven thousand, three hundred sixty".