3649569600 has 168 divisors, whose sum is σ = 12109582080. Its totient is φ = 962170880.

The previous prime is 3649569563. The next prime is 3649569611. The reversal of 3649569600 is 69659463.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3649569600.

It is a congruent number.

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, 422929 + ... + 431471.

Almost surely, 2^3649569600 is an apocalyptic number.

3649569600 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 3649569600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6054791040).

3649569600 is an abundant number, since it is smaller than the sum of its proper divisors (8460012480).

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

3649569600 is a wasteful number, since it uses less digits than its factorization.

3649569600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8657 (or 8642 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The square root of 3649569600 is about 60411.6677472159. The cubic root of 3649569600 is about 1539.6212032868.

The spelling of 3649569600 in words is "three billion, six hundred forty-nine million, five hundred sixty-nine thousand, six hundred".