39788280900 has 243 divisors, whose sum is σ = 127966069413. Its totient is φ = 10340524800.

The previous prime is 39788280871. The next prime is 39788280967. The reversal of 39788280900 is 908288793.

The square root of 39788280900 is 199470.

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

It can be written as a sum of positive squares in 13 ways, for example, as 37504970244 + 2283310656 = 193662^2 + 47784^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 365030046 + ... + 365030154.

Almost surely, 2^39788280900 is an apocalyptic number.

39788280900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

39788280900 is the 199470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39788280900

39788280900 is an abundant number, since it is smaller than the sum of its proper divisors (88177788513).

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

39788280900 is a wasteful number, since it uses less digits than its factorization.

39788280900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 39788280900 in words is "thirty-nine billion, seven hundred eighty-eight million, two hundred eighty thousand, nine hundred".