3609325440 has 512 divisors, whose sum is σ = 14911257600. Its totient is φ = 807985152.

The previous prime is 3609325427. The next prime is 3609325457. The reversal of 3609325440 is 445239063.

3609325440 is a `hidden beast` number, since 3 + 609 + 3 + 2 + 5 + 4 + 40 = 666.

3609325440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3609325395 and 3609325404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6410599 + ... + 6411161.

It is an arithmetic number, because the mean of its divisors is an integer number (29123550).

Almost surely, 2^3609325440 is an apocalyptic number.

3609325440 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 3609325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7455628800).

3609325440 is an abundant number, since it is smaller than the sum of its proper divisors (11301932160).

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

3609325440 is a wasteful number, since it uses less digits than its factorization.

3609325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3609325440 is about 60077.6617387861. The cubic root of 3609325440 is about 1533.9410890493.

The spelling of 3609325440 in words is "three billion, six hundred nine million, three hundred twenty-five thousand, four hundred forty".