38114752900 has 81 divisors (see below), whose sum is σ = 96247035759. Its totient is φ = 13063229760.

The previous prime is 38114752889. The next prime is 38114752927. The reversal of 38114752900 is 925741183.

The square root of 38114752900 is 195230.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5466244 + 38109286656 = 2338^2 + 195216^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13664706 + ... + 13667494.

Almost surely, 2^38114752900 is an apocalyptic number.

38114752900 is the 195230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38114752900

38114752900 is an abundant number, since it is smaller than the sum of its proper divisors (58132282859).

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

38114752900 is an equidigital number, since it uses as much as digits as its factorization.

38114752900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5606 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

It can be divided in two parts, 381 and 14752900, that added together give a square (14753281 = 3841²).

The spelling of 38114752900 in words is "thirty-eight billion, one hundred fourteen million, seven hundred fifty-two thousand, nine hundred".