3909070080 has 216 divisors, whose sum is σ = 13992549480. Its totient is φ = 1006387200.

The previous prime is 3909070073. The next prime is 3909070097. The reversal of 3909070080 is 800709093.

It can be written as a sum of positive squares in 4 ways, for example, as 846111744 + 3062958336 = 29088^2 + 55344^2 .

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 23 ways as a sum of consecutive naturals, for example, 328230 + ... + 339930.

Almost surely, 2^3909070080 is an apocalyptic number.

3909070080 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 3909070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6996274740).

3909070080 is an abundant number, since it is smaller than the sum of its proper divisors (10083479400).

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

3909070080 is a wasteful number, since it uses less digits than its factorization.

3909070080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11757 (or 11740 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 3909070080 is about 62522.5565696093. The cubic root of 3909070080 is about 1575.2802162043.

The spelling of 3909070080 in words is "three billion, nine hundred nine million, seventy thousand, eighty".