3313042800 has 240 divisors, whose sum is σ = 10915729920. Its totient is φ = 858654720.

The previous prime is 3313042783. The next prime is 3313042813. The reversal of 3313042800 is 82403133.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7155369 + ... + 7155831.

It is an arithmetic number, because the mean of its divisors is an integer number (45482208).

Almost surely, 2^3313042800 is an apocalyptic number.

3313042800 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 3313042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5457864960).

3313042800 is an abundant number, since it is smaller than the sum of its proper divisors (7602687120).

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

3313042800 is a wasteful number, since it uses less digits than its factorization.

3313042800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3313042800 is about 57559.0375180128. The cubic root of 3313042800 is about 1490.7644081563.

Adding to 3313042800 its reverse (82403133), we get a palindrome (3395445933).

The spelling of 3313042800 in words is "three billion, three hundred thirteen million, forty-two thousand, eight hundred".