3653480448 has 312 divisors, whose sum is σ = 11449052160. Its totient is φ = 1119191040.

The previous prime is 3653480443. The next prime is 3653480461. The reversal of 3653480448 is 8440843563.

3653480448 is a `hidden beast` number, since 36 + 534 + 80 + 4 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (3653480443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26283963 + ... + 26284101.

It is an arithmetic number, because the mean of its divisors is an integer number (36695680).

Almost surely, 2^3653480448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3653480448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5724526080).

3653480448 is an abundant number, since it is smaller than the sum of its proper divisors (7795571712).

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

3653480448 is a wasteful number, since it uses less digits than its factorization.

3653480448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 3653480448 is about 60444.0273972541. The cubic root of 3653480448 is about 1540.1709553286.

The spelling of 3653480448 in words is "three billion, six hundred fifty-three million, four hundred eighty thousand, four hundred forty-eight".