3609439680 has 672 divisors, whose sum is σ = 15099743232. Its totient is φ = 713687040.

The previous prime is 3609439627. The next prime is 3609439681. The reversal of 3609439680 is 869349063.

3609439680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3609439681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18701664 + ... + 18701856.

It is an arithmetic number, because the mean of its divisors is an integer number (22469856).

Almost surely, 2^3609439680 is an apocalyptic number.

3609439680 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 3609439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7549871616).

3609439680 is an abundant number, since it is smaller than the sum of its proper divisors (11490303552).

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

3609439680 is a wasteful number, since it uses less digits than its factorization.

3609439680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The square root of 3609439680 is about 60078.6125006229. The cubic root of 3609439680 is about 1533.9572726441.

The spelling of 3609439680 in words is "three billion, six hundred nine million, four hundred thirty-nine thousand, six hundred eighty".