3600728064 has 90 divisors (see below), whose sum is σ = 10402211820. Its totient is φ = 1200193536.

The previous prime is 3600728063. The next prime is 3600728071. The reversal of 3600728064 is 4608270063.

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 (3600728063) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 135247 + ... + 159665.

Almost surely, 2^3600728064 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 3600728064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5201105910).

3600728064 is an abundant number, since it is smaller than the sum of its proper divisors (6801483756).

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

3600728064 is an equidigital number, since it uses as much as digits as its factorization.

3600728064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24453 (or 24424 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3600728064 is about 60006.0668932734. The cubic root of 3600728064 is about 1532.7221767692.

The spelling of 3600728064 in words is "three billion, six hundred million, seven hundred twenty-eight thousand, sixty-four".