3609615744 has 256 divisors, whose sum is σ = 12817728000. Its totient is φ = 976914432.

The previous prime is 3609615673. The next prime is 3609615749. The reversal of 3609615744 is 4475169063.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3609615744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3609615749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455722 + ... + 463574.

It is an arithmetic number, because the mean of its divisors is an integer number (50069250).

Almost surely, 2^3609615744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3609615744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6408864000).

3609615744 is an abundant number, since it is smaller than the sum of its proper divisors (9208112256).

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

3609615744 is a wasteful number, since it uses less digits than its factorization.

3609615744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7902 (or 7884 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3609615744 is about 60080.0777629324. The cubic root of 3609615744 is about 1533.9822137510.

The spelling of 3609615744 in words is "three billion, six hundred nine million, six hundred fifteen thousand, seven hundred forty-four".