3269845152 has 192 divisors, whose sum is σ = 10930026240. Its totient is φ = 931627008.

The previous prime is 3269845151. The next prime is 3269845157. The reversal of 3269845152 is 2515489623.

It is a junction number, because it is equal to n+sod(n) for n = 3269845098 and 3269845107.

It is not an unprimeable number, because it can be changed into a prime (3269845151) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3489228 + ... + 3490164.

It is an arithmetic number, because the mean of its divisors is an integer number (56927220).

Almost surely, 2^3269845152 is an apocalyptic number.

3269845152 is a gapful number since it is divisible by the number (32) 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 3269845152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5465013120).

3269845152 is an abundant number, since it is smaller than the sum of its proper divisors (7660181088).

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

3269845152 is a wasteful number, since it uses less digits than its factorization.

3269845152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1526 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 3269845152 is about 57182.5598587541. The cubic root of 3269845152 is about 1484.2568508950.

The spelling of 3269845152 in words is "three billion, two hundred sixty-nine million, eight hundred forty-five thousand, one hundred fifty-two".