3609077472 has 720 divisors, whose sum is σ = 14463453312. Its totient is φ = 857226240.

The previous prime is 3609077449. The next prime is 3609077473. The reversal of 3609077472 is 2747709063.

It is a happy number.

3609077472 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3609077473) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33729643 + ... + 33729749.

Almost surely, 2^3609077472 is an apocalyptic number.

3609077472 is a gapful number since it is divisible by the number (32) 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 3609077472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7231726656).

3609077472 is an abundant number, since it is smaller than the sum of its proper divisors (10854375840).

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

3609077472 is a wasteful number, since it uses less digits than its factorization.

3609077472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 3609077472 is about 60075.5979745520. The cubic root of 3609077472 is about 1533.9059599538.

The spelling of 3609077472 in words is "three billion, six hundred nine million, seventy-seven thousand, four hundred seventy-two".