3603616128 has 288 divisors, whose sum is σ = 12326442960. Its totient is φ = 1027924992.

The previous prime is 3603616091. The next prime is 3603616129. The reversal of 3603616128 is 8216163063.

3603616128 is a `hidden beast` number, since 3 + 6 + 0 + 36 + 1 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 3603616092 and 3603616101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3603616129) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5878350 + ... + 5878962.

Almost surely, 2^3603616128 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 3603616128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6163221480).

3603616128 is an abundant number, since it is smaller than the sum of its proper divisors (8722826832).

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

3603616128 is an frugal number, since it uses more digits than its factorization.

3603616128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3603616128 is about 60030.1268364477. The cubic root of 3603616128 is about 1533.1318547285.

The spelling of 3603616128 in words is "three billion, six hundred three million, six hundred sixteen thousand, one hundred twenty-eight".