3344337864 has 96 divisors (see below), whose sum is σ = 10370543040. Its totient is φ = 953769600.

The previous prime is 3344337851. The next prime is 3344337881. The reversal of 3344337864 is 4687334433.

3344337864 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3344337864² = 22369191497168164992, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281974 + ... + 293594.

It is an arithmetic number, because the mean of its divisors is an integer number (108026490).

Almost surely, 2^3344337864 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 3344337864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5185271520).

3344337864 is an abundant number, since it is smaller than the sum of its proper divisors (7026205176).

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

3344337864 is a wasteful number, since it uses less digits than its factorization.

3344337864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12211 (or 12204 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 45.

The square root of 3344337864 is about 57830.2504231133. The cubic root of 3344337864 is about 1495.4436350392.

The spelling of 3344337864 in words is "three billion, three hundred forty-four million, three hundred thirty-seven thousand, eight hundred sixty-four".