38374398720 has 432 divisors, whose sum is σ = 152212919040. Its totient is φ = 8743919616.

The previous prime is 38374398709. The next prime is 38374398721. The reversal of 38374398720 is 2789347383.

It is not an unprimeable number, because it can be changed into a prime (38374398721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37658371 + ... + 37659389.

It is an arithmetic number, because the mean of its divisors is an integer number (352344720).

Almost surely, 2^38374398720 is an apocalyptic number.

38374398720 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 38374398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76106459520).

38374398720 is an abundant number, since it is smaller than the sum of its proper divisors (113838520320).

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

38374398720 is a wasteful number, since it uses less digits than its factorization.

38374398720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 38374398720 in words is "thirty-eight billion, three hundred seventy-four million, three hundred ninety-eight thousand, seven hundred twenty".