3649420320 has 768 divisors, whose sum is σ = 15200317440. Its totient is φ = 715309056.

The previous prime is 3649420289. The next prime is 3649420321. The reversal of 3649420320 is 230249463.

It is not an unprimeable number, because it can be changed into a prime (3649420321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54468927 + ... + 54468993.

It is an arithmetic number, because the mean of its divisors is an integer number (19792080).

Almost surely, 2^3649420320 is an apocalyptic number.

3649420320 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 3649420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7600158720).

3649420320 is an abundant number, since it is smaller than the sum of its proper divisors (11550897120).

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

3649420320 is a wasteful number, since it uses less digits than its factorization.

3649420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 3649420320 is about 60410.4322116636. The cubic root of 3649420320 is about 1539.6002110592.

Adding to 3649420320 its reverse (230249463), we get a palindrome (3879669783).

The spelling of 3649420320 in words is "three billion, six hundred forty-nine million, four hundred twenty thousand, three hundred twenty".