3314074624 has 99 divisors (see below), whose sum is σ = 7736634453. Its totient is φ = 1414791168.

The previous prime is 3314074609. The next prime is 3314074633. The reversal of 3314074624 is 4264704133.

The square root of 3314074624 is 57568.

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., 3262694400 + 51380224 = 57120^2 + 7168^2 .

It is a super-2 number, since 2×3314074624² = 21966181226881482752, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3314074624.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12895104 + ... + 12895360.

Almost surely, 2^3314074624 is an apocalyptic number.

3314074624 is the 57568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3314074624

3314074624 is an abundant number, since it is smaller than the sum of its proper divisors (4422559829).

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

3314074624 is an frugal number, since it uses more digits than its factorization.

3314074624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The cubic root of 3314074624 is about 1490.9191548074.

Adding to 3314074624 its reverse (4264704133), we get a palindrome (7578778757).

The spelling of 3314074624 in words is "three billion, three hundred fourteen million, seventy-four thousand, six hundred twenty-four".