3603000960 has 512 divisors, whose sum is σ = 14099500800. Its totient is φ = 863944704.

The previous prime is 3603000931. The next prime is 3603000997. The reversal of 3603000960 is 690003063.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 9659334 + ... + 9659706.

Almost surely, 2^3603000960 is an apocalyptic number.

3603000960 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 3603000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7049750400).

3603000960 is an abundant number, since it is smaller than the sum of its proper divisors (10496499840).

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

3603000960 is a wasteful number, since it uses less digits than its factorization.

3603000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 3603000960 is about 60025.0027905039. The cubic root of 3603000960 is about 1533.0446102038.

The spelling of 3603000960 in words is "three billion, six hundred three million, nine hundred sixty", and thus it is an aban number.