38901028320 has 576 divisors, whose sum is σ = 167638947840. Its totient is φ = 7979212800.

The previous prime is 38901028319. The next prime is 38901028343. The reversal of 38901028320 is 2382010983.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 8757300 + ... + 8761740.

It is an arithmetic number, because the mean of its divisors is an integer number (291039840).

Almost surely, 2^38901028320 is an apocalyptic number.

38901028320 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 38901028320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83819473920).

38901028320 is an abundant number, since it is smaller than the sum of its proper divisors (128737919520).

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

38901028320 is a wasteful number, since it uses less digits than its factorization.

38901028320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4559 (or 4548 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 38901028320 in words is "thirty-eight billion, nine hundred one million, twenty-eight thousand, three hundred twenty".