3209139648 has 588 divisors, whose sum is σ = 11583500328. Its totient is φ = 873400320.

The previous prime is 3209139643. The next prime is 3209139671. The reversal of 3209139648 is 8469319023.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3209139643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 86733486 + ... + 86733522.

Almost surely, 2^3209139648 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 3209139648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791750164).

3209139648 is an abundant number, since it is smaller than the sum of its proper divisors (8374360680).

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

3209139648 is a wasteful number, since it uses less digits than its factorization.

3209139648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3209139648 is about 56649.2687331443. The cubic root of 3209139648 is about 1475.0142138628.

The spelling of 3209139648 in words is "three billion, two hundred nine million, one hundred thirty-nine thousand, six hundred forty-eight".