3649313312 has 54 divisors (see below), whose sum is σ = 7349023269. Its totient is φ = 1783820160.

The previous prime is 3649313303. The next prime is 3649313323. The reversal of 3649313312 is 2133139463.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2205617296 + 1443696016 = 46964^2 + 37996^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=42716.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20161862 + ... + 20162042.

Almost surely, 2^3649313312 is an apocalyptic number.

3649313312 is a gapful number since it is divisible by the number (32) 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 3649313312

3649313312 is an abundant number, since it is smaller than the sum of its proper divisors (3699709957).

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

3649313312 is an frugal number, since it uses more digits than its factorization.

3649313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 242 counting only the distinct ones).

The product of its digits is 34992, while the sum is 35.

The square root of 3649313312 is about 60409.5465303291. The cubic root of 3649313312 is about 1539.5851629022.

The spelling of 3649313312 in words is "three billion, six hundred forty-nine million, three hundred thirteen thousand, three hundred twelve".