3289344960 has 448 divisors, whose sum is σ = 12277246464. Its totient is φ = 737280000.

The previous prime is 3289344913. The next prime is 3289344973. The reversal of 3289344960 is 694439823.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13104835 + ... + 13105085.

It is an arithmetic number, because the mean of its divisors is an integer number (27404568).

Almost surely, 2^3289344960 is an apocalyptic number.

3289344960 is a gapful number since it is divisible by the number (30) 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 3289344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6138623232).

3289344960 is an abundant number, since it is smaller than the sum of its proper divisors (8987901504).

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

3289344960 is a wasteful number, since it uses less digits than its factorization.

3289344960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The square root of 3289344960 is about 57352.8112650112. The cubic root of 3289344960 is about 1487.2014735061.

The spelling of 3289344960 in words is "three billion, two hundred eighty-nine million, three hundred forty-four thousand, nine hundred sixty".