3314353728 has 504 divisors, whose sum is σ = 11520781632. Its totient is φ = 836419584.

The previous prime is 3314353709. The next prime is 3314353729. The reversal of 3314353728 is 8273534133.

Its product of digits (181440) is a multiple of the sum of its prime divisors (105).

It is not an unprimeable number, because it can be changed into a prime (3314353729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62534950 + ... + 62535002.

Almost surely, 2^3314353728 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 3314353728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760390816).

3314353728 is an abundant number, since it is smaller than the sum of its proper divisors (8206427904).

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

3314353728 is a wasteful number, since it uses less digits than its factorization.

3314353728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 105 counting only the distinct ones).

The product of its digits is 181440, while the sum is 39.

The square root of 3314353728 is about 57570.4240734772. The cubic root of 3314353728 is about 1490.9610075985.

The spelling of 3314353728 in words is "three billion, three hundred fourteen million, three hundred fifty-three thousand, seven hundred twenty-eight".