3649538984 has 256 divisors, whose sum is σ = 9289728000. Its totient is φ = 1304709120.

The previous prime is 3649538969. The next prime is 3649538989. The reversal of 3649538984 is 4898359463.

3649538984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3649538989) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41006012 + ... + 41006100.

It is an arithmetic number, because the mean of its divisors is an integer number (36288000).

Almost surely, 2^3649538984 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 3649538984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644864000).

3649538984 is an abundant number, since it is smaller than the sum of its proper divisors (5640189016).

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

3649538984 is a wasteful number, since it uses less digits than its factorization.

3649538984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 244 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 59.

The square root of 3649538984 is about 60411.4143519252. The cubic root of 3649538984 is about 1539.6168980143.

The spelling of 3649538984 in words is "three billion, six hundred forty-nine million, five hundred thirty-eight thousand, nine hundred eighty-four".