3313314432 has 192 divisors, whose sum is σ = 9833297760. Its totient is φ = 1070254080.

The previous prime is 3313314421. The next prime is 3313314461. The reversal of 3313314432 is 2344133133.

3313314432 is a `hidden beast` number, since 3 + 313 + 314 + 4 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 3313314396 and 3313314405.

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, 10451938 + ... + 10452254.

Almost surely, 2^3313314432 is an apocalyptic number.

3313314432 is a gapful number since it is divisible by the number (32) 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 3313314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4916648880).

3313314432 is an abundant number, since it is smaller than the sum of its proper divisors (6519983328).

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

3313314432 is a wasteful number, since it uses less digits than its factorization.

3313314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 576 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 3313314432 is about 57561.3970643521. The cubic root of 3313314432 is about 1490.8051489774.

Adding to 3313314432 its reverse (2344133133), we get a palindrome (5657447565).

The spelling of 3313314432 in words is "three billion, three hundred thirteen million, three hundred fourteen thousand, four hundred thirty-two".