38608708320 has 960 divisors, whose sum is σ = 176629178880. Its totient is φ = 7712796672.

The previous prime is 38608708289. The next prime is 38608708321. The reversal of 38608708320 is 2380780683.

38608708320 is a `hidden beast` number, since 3 + 8 + 608 + 7 + 0 + 8 + 32 + 0 = 666.

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 (38608708321) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22406979 + ... + 22408701.

It is an arithmetic number, because the mean of its divisors is an integer number (183988728).

Almost surely, 2^38608708320 is an apocalyptic number.

38608708320 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 38608708320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88314589440).

38608708320 is an abundant number, since it is smaller than the sum of its proper divisors (138020470560).

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

38608708320 is a wasteful number, since it uses less digits than its factorization.

38608708320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1772 counting only the distinct ones).

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

The spelling of 38608708320 in words is "thirty-eight billion, six hundred eight million, seven hundred eight thousand, three hundred twenty".