3388171264 has 99 divisors (see below), whose sum is σ = 7262753953. Its totient is φ = 1579532288.

The previous prime is 3388171261. The next prime is 3388171271. The reversal of 3388171264 is 4621718833.

The square root of 3388171264 is 58208.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2637849600 + 750321664 = 51360^2 + 27392^2 .

It is a super-2 number, since 2×3388171264² = 22959409028390715392, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (193536) is a multiple of the sum of its prime divisors (126).

It is a self number, because there is not a number n which added to its sum of digits gives 3388171264.

It is not an unprimeable number, because it can be changed into a prime (3388171261) 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 8 ways as a sum of consecutive naturals, for example, 31665099 + ... + 31665205.

Almost surely, 2^3388171264 is an apocalyptic number.

3388171264 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3388171264 is the 58208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3388171264

3388171264 is an abundant number, since it is smaller than the sum of its proper divisors (3874582689).

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

3388171264 is an equidigital number, since it uses as much as digits as its factorization.

3388171264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 126 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The cubic root of 3388171264 is about 1501.9487654827.

The spelling of 3388171264 in words is "three billion, three hundred eighty-eight million, one hundred seventy-one thousand, two hundred sixty-four".