3289729464 has 480 divisors, whose sum is σ = 11617452000. Its totient is φ = 868734720.

The previous prime is 3289729453. The next prime is 3289729501. The reversal of 3289729464 is 4649279823.

3289729464 is a `hidden beast` number, since 32 + 89 + 72 + 9 + 464 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (5225472) is a multiple of the sum of its prime divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3289729464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 80237284 + ... + 80237324.

It is an arithmetic number, because the mean of its divisors is an integer number (24203025).

Almost surely, 2^3289729464 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 3289729464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5808726000).

3289729464 is an abundant number, since it is smaller than the sum of its proper divisors (8327722536).

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

3289729464 is a wasteful number, since it uses less digits than its factorization.

3289729464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 72 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 3289729464 is about 57356.1632608040. The cubic root of 3289729464 is about 1487.2594194540.

The spelling of 3289729464 in words is "three billion, two hundred eighty-nine million, seven hundred twenty-nine thousand, four hundred sixty-four".