38272521672000 has 2688 divisors, whose sum is σ = 175198080245760. Its totient is φ = 7809854976000.

The previous prime is 38272521671953. The next prime is 38272521672001. The reversal of 38272521672000 is 27612527283.

38272521672000 is a `hidden beast` number, since 38 + 2 + 7 + 252 + 167 + 200 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38272521672001) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 39578615517 + ... + 39578616483.

Almost surely, 2^{38272521672000} is an apocalyptic number.

38272521672000 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 38272521672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87599040122880).

38272521672000 is an abundant number, since it is smaller than the sum of its proper divisors (136925558573760).

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

38272521672000 is a wasteful number, since it uses less digits than its factorization.

38272521672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 38272521672000 in words is "thirty-eight trillion, two hundred seventy-two billion, five hundred twenty-one million, six hundred seventy-two thousand".