3609722880 has 400 divisors, whose sum is σ = 13702778100. Its totient is φ = 905969664.

The previous prime is 3609722873. The next prime is 3609722881. The reversal of 3609722880 is 882279063.

3609722880 is a `hidden beast` number, since 360 + 9 + 7 + 2 + 288 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3588489216 + 21233664 = 59904^2 + 4608^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3609722881) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 212336632 + ... + 212336648.

Almost surely, 2^3609722880 is an apocalyptic number.

3609722880 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 3609722880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6851389050).

3609722880 is an abundant number, since it is smaller than the sum of its proper divisors (10093055220).

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

3609722880 is an frugal number, since it uses more digits than its factorization.

3609722880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3609722880 is about 60080.9693663476. The cubic root of 3609722880 is about 1533.9973901672.

The spelling of 3609722880 in words is "three billion, six hundred nine million, seven hundred twenty-two thousand, eight hundred eighty".