3653365248 has 320 divisors, whose sum is σ = 12064852800. Its totient is φ = 1083801600.

The previous prime is 3653365231. The next prime is 3653365249. The reversal of 3653365248 is 8425633563.

3653365248 is a `hidden beast` number, since 36 + 533 + 65 + 24 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3653365249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5211298 + ... + 5211998.

It is an arithmetic number, because the mean of its divisors is an integer number (37702665).

Almost surely, 2^3653365248 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 3653365248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032426400).

3653365248 is an abundant number, since it is smaller than the sum of its proper divisors (8411487552).

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

3653365248 is a wasteful number, since it uses less digits than its factorization.

3653365248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 748 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The square root of 3653365248 is about 60443.0744419905. The cubic root of 3653365248 is about 1540.1547671521.

The spelling of 3653365248 in words is "three billion, six hundred fifty-three million, three hundred sixty-five thousand, two hundred forty-eight".