38728290816 has 240 divisors, whose sum is σ = 116095482360. Its totient is φ = 12413829120.

The previous prime is 38728290803. The next prime is 38728290851. The reversal of 38728290816 is 61809282783.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28304697600 + 10423593216 = 168240^2 + 102096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47171686 + ... + 47172506.

Almost surely, 2^38728290816 is an apocalyptic number.

38728290816 is a gapful number since it is divisible by the number (36) 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 38728290816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58047741180).

38728290816 is an abundant number, since it is smaller than the sum of its proper divisors (77367191544).

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

38728290816 is a wasteful number, since it uses less digits than its factorization.

38728290816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 38728290816 in words is "thirty-eight billion, seven hundred twenty-eight million, two hundred ninety thousand, eight hundred sixteen".