3649743360 has 240 divisors, whose sum is σ = 13110473376. Its totient is φ = 973099008.

The previous prime is 3649743359. The next prime is 3649743389. The reversal of 3649743360 is 633479463.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 619147 + ... + 625013.

Almost surely, 2^3649743360 is an apocalyptic number.

3649743360 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 3649743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6555236688).

3649743360 is an abundant number, since it is smaller than the sum of its proper divisors (9460730016).

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

3649743360 is an frugal number, since it uses more digits than its factorization.

3649743360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5905 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The square root of 3649743360 is about 60413.1058628838. The cubic root of 3649743360 is about 1539.6456372488.

The spelling of 3649743360 in words is "three billion, six hundred forty-nine million, seven hundred forty-three thousand, three hundred sixty".