3313355400 has 144 divisors (see below), whose sum is σ = 11164800660. Its totient is φ = 880588800.

The previous prime is 3313355389. The next prime is 3313355407. The reversal of 3313355400 is 45533133.

It is a happy number.

3313355400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 688432644 + 2624922756 = 26238^2 + 51234^2 .

It is not an unprimeable number, because it can be changed into a prime (3313355407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 560460 + ... + 566340.

Almost surely, 2^3313355400 is an apocalyptic number.

3313355400 is a gapful number since it is divisible by the number (30) 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 3313355400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5582400330).

3313355400 is an abundant number, since it is smaller than the sum of its proper divisors (7851445260).

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

3313355400 is a wasteful number, since it uses less digits than its factorization.

3313355400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6216 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 3313355400 is about 57561.7529267482. The cubic root of 3313355400 is about 1490.8112933840.

Adding to 3313355400 its reverse (45533133), we get a palindrome (3358888533).

The spelling of 3313355400 in words is "three billion, three hundred thirteen million, three hundred fifty-five thousand, four hundred".