3314314624 has 64 divisors (see below), whose sum is σ = 6713713440. Its totient is φ = 1629536256.

The previous prime is 3314314613. The next prime is 3314314637. The reversal of 3314314624 is 4264134133.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3314314624² = 21969362853720522752, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 2147197 + ... + 2148739.

Almost surely, 2^3314314624 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 3314314624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356856720).

3314314624 is an abundant number, since it is smaller than the sum of its proper divisors (3399398816).

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

3314314624 is a wasteful number, since it uses less digits than its factorization.

3314314624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1815 counting only the distinct ones).

The product of its digits is 20736, while the sum is 31.

The square root of 3314314624 is about 57570.0844536466. The cubic root of 3314314624 is about 1490.9551439346.

Adding to 3314314624 its reverse (4264134133), we get a palindrome (7578448757).

The spelling of 3314314624 in words is "three billion, three hundred fourteen million, three hundred fourteen thousand, six hundred twenty-four".