3649576848 has 80 divisors (see below), whose sum is σ = 9979569600. Its totient is φ = 1146078720.

The previous prime is 3649576841. The next prime is 3649576849. The reversal of 3649576848 is 8486759463.

It is a super-2 number, since 2×3649576848² = 26638822338915230208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3649576791 and 3649576800.

It is not an unprimeable number, because it can be changed into a prime (3649576841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154018 + ... + 176126.

It is an arithmetic number, because the mean of its divisors is an integer number (124744620).

Almost surely, 2^3649576848 is an apocalyptic number.

3649576848 is a gapful number since it is divisible by the number (38) 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 3649576848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989784800).

3649576848 is an abundant number, since it is smaller than the sum of its proper divisors (6329992752).

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

3649576848 is a wasteful number, since it uses less digits than its factorization.

3649576848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22320 (or 22314 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 60.

The square root of 3649576848 is about 60411.7277355978. The cubic root of 3649576848 is about 1539.6222225090.

The spelling of 3649576848 in words is "three billion, six hundred forty-nine million, five hundred seventy-six thousand, eight hundred forty-eight".