38800016640 has 1728 divisors, whose sum is σ = 185134989312. Its totient is φ = 7254835200.

The previous prime is 38800016639. The next prime is 38800016677. The reversal of 38800016640 is 4661000883.

It is a happy number.

38800016640 is a `hidden beast` number, since 3 + 8 + 8 + 0 + 0 + 0 + 1 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38800016595 and 38800016604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 467470039 + ... + 467470121.

It is an arithmetic number, because the mean of its divisors is an integer number (107138304).

Almost surely, 2^38800016640 is an apocalyptic number.

38800016640 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 38800016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92567494656).

38800016640 is an abundant number, since it is smaller than the sum of its proper divisors (146334972672).

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

38800016640 is a wasteful number, since it uses less digits than its factorization.

38800016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 38800016640 in words is "thirty-eight billion, eight hundred million, sixteen thousand, six hundred forty".