38832721920 has 702 divisors, whose sum is σ = 148479256302. Its totient is φ = 9746251776.

The previous prime is 38832721901. The next prime is 38832721927. The reversal of 38832721920 is 2912723883.

38832721920 is a `hidden beast` number, since 388 + 32 + 7 + 219 + 20 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 13006946304 + 25825775616 = 114048^2 + 160704^2 .

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 (38832721927) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2284277752 + ... + 2284277768.

Almost surely, 2^38832721920 is an apocalyptic number.

38832721920 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 38832721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74239628151).

38832721920 is an abundant number, since it is smaller than the sum of its proper divisors (109646534382).

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

38832721920 is an frugal number, since it uses more digits than its factorization.

38832721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 27 counting only the distinct ones).

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

Multiplying 38832721920 by its sum of digits (45), we get a square (1747472486400 = 1321920²).

38832721920 divided by its sum of digits (45) gives a square (862949376 = 29376²).

The spelling of 38832721920 in words is "thirty-eight billion, eight hundred thirty-two million, seven hundred twenty-one thousand, nine hundred twenty".