3603655440 has 640 divisors, whose sum is σ = 15838986240. Its totient is φ = 731289600.

The previous prime is 3603655417. The next prime is 3603655477. The reversal of 3603655440 is 445563063.

3603655440 is a `hidden beast` number, since 3 + 60 + 3 + 6 + 554 + 40 = 666.

3603655440 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 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 = 3603655395 and 3603655404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7816810 + ... + 7817270.

It is an arithmetic number, because the mean of its divisors is an integer number (24748416).

Almost surely, 2^3603655440 is an apocalyptic number.

3603655440 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 3603655440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7919493120).

3603655440 is an abundant number, since it is smaller than the sum of its proper divisors (12235330800).

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

3603655440 is a wasteful number, since it uses less digits than its factorization.

3603655440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3603655440 is about 60030.4542711447. The cubic root of 3603655440 is about 1533.1374297082.

The spelling of 3603655440 in words is "three billion, six hundred three million, six hundred fifty-five thousand, four hundred forty".