3205899648 has 320 divisors, whose sum is σ = 11011038720. Its totient is φ = 906992640.

The previous prime is 3205899637. The next prime is 3205899673. The reversal of 3205899648 is 8469985023.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3205899594 and 3205899603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11829753 + ... + 11830023.

It is an arithmetic number, because the mean of its divisors is an integer number (34409496).

Almost surely, 2^3205899648 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 3205899648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505519360).

3205899648 is an abundant number, since it is smaller than the sum of its proper divisors (7805139072).

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

3205899648 is a wasteful number, since it uses less digits than its factorization.

3205899648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 3205899648 is about 56620.6644962773. The cubic root of 3205899648 is about 1474.5176472007.

The spelling of 3205899648 in words is "three billion, two hundred five million, eight hundred ninety-nine thousand, six hundred forty-eight".