3649108320 has 720 divisors, whose sum is σ = 15329548080. Its totient is φ = 812021760.

The previous prime is 3649108319. The next prime is 3649108343. The reversal of 3649108320 is 238019463.

3649108320 is a `hidden beast` number, since 3 + 649 + 1 + 0 + 8 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20385991 + ... + 20386169.

It is an arithmetic number, because the mean of its divisors is an integer number (21291039).

Almost surely, 2^3649108320 is an apocalyptic number.

3649108320 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 3649108320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7664774040).

3649108320 is an abundant number, since it is smaller than the sum of its proper divisors (11680439760).

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

3649108320 is a wasteful number, since it uses less digits than its factorization.

3649108320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3649108320 is about 60407.8498210291. The cubic root of 3649108320 is about 1539.5563347799.

The spelling of 3649108320 in words is "three billion, six hundred forty-nine million, one hundred eight thousand, three hundred twenty".