3289767936 has 224 divisors, whose sum is σ = 10803867648. Its totient is φ = 867041280.

The previous prime is 3289767931. The next prime is 3289767959. The reversal of 3289767936 is 6397679823.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 3289767936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3289767931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2235681 + ... + 2237151.

It is an arithmetic number, because the mean of its divisors is an integer number (48231552).

Almost surely, 2^3289767936 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 3289767936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401933824).

3289767936 is an abundant number, since it is smaller than the sum of its proper divisors (7514099712).

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

3289767936 is a wasteful number, since it uses less digits than its factorization.

3289767936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1496 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 60.

The square root of 3289767936 is about 57356.4986379050. The cubic root of 3289767936 is about 1487.2652170555.

The spelling of 3289767936 in words is "three billion, two hundred eighty-nine million, seven hundred sixty-seven thousand, nine hundred thirty-six".