38025000000 has 567 divisors, whose sum is σ = 147525803373. Its totient is φ = 9360000000.

The previous prime is 38024999983. The next prime is 38025000017. The reversal of 38025000000 is 52083.

38025000000 = 1³ + 2³ + ... + 624³.

The square root of 38025000000 is 195000.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (38024999983) and next prime (38025000017).

It can be written as a sum of positive squares in 13 ways, for example, as 1124126784 + 36900873216 = 33528^2 + 192096^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 80 ways as a sum of consecutive naturals, for example, 2924999994 + ... + 2925000006.

Almost surely, 2^38025000000 is an apocalyptic number.

38025000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38025000000 is the 195000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38025000000

38025000000 is an abundant number, since it is smaller than the sum of its proper divisors (109500803373).

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

38025000000 is an frugal number, since it uses more digits than its factorization.

38025000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 38025000000 its reverse (52083), we get a palindrome (38025052083).

The spelling of 38025000000 in words is "thirty-eight billion, twenty-five million", and thus it is an aban number and an uban number.