3289201344 has 784 divisors, whose sum is σ = 12592933920. Its totient is φ = 836075520.

The previous prime is 3289201301. The next prime is 3289201351. The reversal of 3289201344 is 4431029823.

3289201344 is a `hidden beast` number, since 32 + 89 + 201 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3289201299 and 3289201308.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 113420722 + ... + 113420750.

It is a vampire number, since it can be written as 40392 ⋅ 81432 (with its own digits).

Almost surely, 2^3289201344 is an apocalyptic number.

3289201344 is a gapful number since it is divisible by the number (34) 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 3289201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6296466960).

3289201344 is an abundant number, since it is smaller than the sum of its proper divisors (9303732576).

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

3289201344 is a wasteful number, since it uses less digits than its factorization.

3289201344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3289201344 is about 57351.5592115855. The cubic root of 3289201344 is about 1487.1798289702.

The spelling of 3289201344 in words is "three billion, two hundred eighty-nine million, two hundred one thousand, three hundred forty-four".