3613377672 has 96 divisors (see below), whose sum is σ = 10264924800. Its totient is φ = 1146932352.

The previous prime is 3613377667. The next prime is 3613377799. The reversal of 3613377672 is 2767733163.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110779 + ... + 139637.

It is an arithmetic number, because the mean of its divisors is an integer number (106926300).

Almost surely, 2^3613377672 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 3613377672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5132462400).

3613377672 is an abundant number, since it is smaller than the sum of its proper divisors (6651547128).

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

3613377672 is a wasteful number, since it uses less digits than its factorization.

3613377672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28955 (or 28948 counting only the distinct ones).

The product of its digits is 666792, while the sum is 45.

The square root of 3613377672 is about 60111.3772259462. The cubic root of 3613377672 is about 1534.5149322327.

The spelling of 3613377672 in words is "three billion, six hundred thirteen million, three hundred seventy-seven thousand, six hundred seventy-two".