3353613328 has 80 divisors (see below), whose sum is σ = 7089390000. Its totient is φ = 1527644160.

The previous prime is 3353613323. The next prime is 3353613343. The reversal of 3353613328 is 8233163533.

It can be written as a sum of positive squares in 8 ways, for example, as 167236624 + 3186376704 = 12932^2 + 56448^2 .

It is a super-2 number, since 2×3353613328² = 22493444707478471168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3353613323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7468848 + ... + 7469296.

It is an arithmetic number, because the mean of its divisors is an integer number (88617375).

Almost surely, 2^3353613328 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 3353613328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544695000).

3353613328 is an abundant number, since it is smaller than the sum of its proper divisors (3735776672).

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

3353613328 is a wasteful number, since it uses less digits than its factorization.

3353613328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 854 counting only the distinct ones).

The product of its digits is 116640, while the sum is 37.

The square root of 3353613328 is about 57910.3905011873. The cubic root of 3353613328 is about 1496.8248879995.

It can be divided in two parts, 33536 and 13328, that added together give a palindrome (46864).

The spelling of 3353613328 in words is "three billion, three hundred fifty-three million, six hundred thirteen thousand, three hundred twenty-eight".