3399268864 has 60 divisors (see below), whose sum is σ = 7215237414. Its totient is φ = 1599586304.

The previous prime is 3399268861. The next prime is 3399268867. The reversal of 3399268864 is 4688629933.

It is an interprime number because it is at equal distance from previous prime (3399268861) and next prime (3399268867).

It can be written as a sum of positive squares in 3 ways, for example, as 3386308864 + 12960000 = 58192^2 + 3600^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3399268799 and 3399268808.

It is not an unprimeable number, because it can be changed into a prime (3399268861) 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 5 ways as a sum of consecutive naturals, for example, 136482 + ... + 159454.

Almost surely, 2^3399268864 is an apocalyptic number.

3399268864 is a gapful number since it is divisible by the number (34) 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 3399268864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607618707).

3399268864 is an abundant number, since it is smaller than the sum of its proper divisors (3815968550).

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

3399268864 is an equidigital number, since it uses as much as digits as its factorization.

3399268864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23025 (or 22992 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 58.

The square root of 3399268864 is about 58303.2491718944. The cubic root of 3399268864 is about 1503.5868036494.

The spelling of 3399268864 in words is "three billion, three hundred ninety-nine million, two hundred sixty-eight thousand, eight hundred sixty-four".