38772108900 has 216 divisors, whose sum is σ = 139016352384. Its totient is φ = 8854156800.

The previous prime is 38772108887. The next prime is 38772108901. The reversal of 38772108900 is 980127783.

It is a super-3 number, since 3×38772108900³ (a number of 33 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (38772108901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9517264 + ... + 9521336.

It is an arithmetic number, because the mean of its divisors is an integer number (643594224).

Almost surely, 2^38772108900 is an apocalyptic number.

38772108900 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 38772108900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69508176192).

38772108900 is an abundant number, since it is smaller than the sum of its proper divisors (100244243484).

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

38772108900 is a wasteful number, since it uses less digits than its factorization.

38772108900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5611 (or 5601 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 38772108900 in words is "thirty-eight billion, seven hundred seventy-two million, one hundred eight thousand, nine hundred".