3607128320 has 72 divisors (see below), whose sum is σ = 8657832120. Its totient is φ = 1439907840.

The previous prime is 3607128281. The next prime is 3607128337. The reversal of 3607128320 is 238217063.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1127885056 + 2479243264 = 33584^2 + 49792^2 .

It is a super-2 number, since 2×3607128320² = 26022749433892044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 689876 + ... + 695084.

Almost surely, 2^3607128320 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 3607128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4328916060).

3607128320 is an abundant number, since it is smaller than the sum of its proper divisors (5050703800).

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

3607128320 is an equidigital number, since it uses as much as digits as its factorization.

3607128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5771 (or 5757 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 3607128320 is about 60059.3732901035. The cubic root of 3607128320 is about 1533.6297717136.

The spelling of 3607128320 in words is "three billion, six hundred seven million, one hundred twenty-eight thousand, three hundred twenty".