3649558320 has 120 divisors (see below), whose sum is σ = 12339054000. Its totient is φ = 966655488.

The previous prime is 3649558313. The next prime is 3649558333. The reversal of 3649558320 is 238559463.

3649558320 is a `hidden beast` number, since 3 + 6 + 49 + 5 + 583 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 90271 + ... + 124289.

It is an arithmetic number, because the mean of its divisors is an integer number (102825450).

Almost surely, 2^3649558320 is an apocalyptic number.

3649558320 is a gapful number since it is divisible by the number (30) 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 3649558320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6169527000).

3649558320 is an abundant number, since it is smaller than the sum of its proper divisors (8689495680).

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

3649558320 is a wasteful number, since it uses less digits than its factorization.

3649558320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34187 (or 34178 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 3649558320 is about 60411.5743876949. The cubic root of 3649558320 is about 1539.6196170773.

The spelling of 3649558320 in words is "three billion, six hundred forty-nine million, five hundred fifty-eight thousand, three hundred twenty".