3649660560 has 480 divisors, whose sum is σ = 15384515328. Its totient is φ = 754790400.

The previous prime is 3649660559. The next prime is 3649660577. The reversal of 3649660560 is 650669463.

3649660560 is a `hidden beast` number, since 36 + 4 + 9 + 6 + 605 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 95 ways as a sum of consecutive naturals, for example, 3472035 + ... + 3473085.

Almost surely, 2^3649660560 is an apocalyptic number.

3649660560 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 3649660560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7692257664).

3649660560 is an abundant number, since it is smaller than the sum of its proper divisors (11734854768).

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

3649660560 is a wasteful number, since it uses less digits than its factorization.

3649660560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 3649660560 is about 60412.4205772290. The cubic root of 3649660560 is about 1539.6339940901.

The spelling of 3649660560 in words is "three billion, six hundred forty-nine million, six hundred sixty thousand, five hundred sixty".