3603456072 has 160 divisors (see below), whose sum is σ = 10464854400. Its totient is φ = 1157659776.

The previous prime is 3603456053. The next prime is 3603456079. The reversal of 3603456072 is 2706543063.

3603456072 is a `hidden beast` number, since 3 + 6 + 0 + 3 + 45 + 607 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3603456079) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2200438 + ... + 2202074.

It is an arithmetic number, because the mean of its divisors is an integer number (65405340).

Almost surely, 2^3603456072 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 3603456072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232427200).

3603456072 is an abundant number, since it is smaller than the sum of its proper divisors (6861398328).

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

3603456072 is a wasteful number, since it uses less digits than its factorization.

3603456072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 3603456072 is about 60028.7936910280. The cubic root of 3603456072 is about 1533.1091561782.

The spelling of 3603456072 in words is "three billion, six hundred three million, four hundred fifty-six thousand, seventy-two".