38841671232 has 672 divisors, whose sum is σ = 145454624000. Its totient is φ = 10099676160.

The previous prime is 38841671227. The next prime is 38841671257. The reversal of 38841671232 is 23217614883.

It is a tau number, because it is divible by the number of its divisors (672).

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

Its product of digits (387072) is a multiple of the sum of its prime divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 547065757 + ... + 547065827.

Almost surely, 2^38841671232 is an apocalyptic number.

38841671232 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 38841671232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72727312000).

38841671232 is an abundant number, since it is smaller than the sum of its proper divisors (106612952768).

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

38841671232 is an equidigital number, since it uses as much as digits as its factorization.

38841671232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 96 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 38841671232 in words is "thirty-eight billion, eight hundred forty-one million, six hundred seventy-one thousand, two hundred thirty-two".