38272545792 has 264 divisors, whose sum is σ = 122749255680. Its totient is φ = 11774730240.

The previous prime is 38272545761. The next prime is 38272545793. The reversal of 38272545792 is 29754527283.

38272545792 is a `hidden beast` number, since 3 + 8 + 2 + 7 + 2 + 545 + 7 + 92 = 666.

It is a super-2 number, since 2×38272545792² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (38272545793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4668417 + ... + 4676607.

Almost surely, 2^38272545792 is an apocalyptic number.

38272545792 is a gapful number since it is divisible by the number (32) 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 38272545792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61374627840).

38272545792 is an abundant number, since it is smaller than the sum of its proper divisors (84476709888).

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

38272545792 is a wasteful number, since it uses less digits than its factorization.

38272545792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8246 (or 8209 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 38272545792 in words is "thirty-eight billion, two hundred seventy-two million, five hundred forty-five thousand, seven hundred ninety-two".