3313094400 has 1080 divisors, whose sum is σ = 15456760704. Its totient is φ = 680140800.

The previous prime is 3313094383. The next prime is 3313094423. The reversal of 3313094400 is 44903133.

3313094400 = 76³ + 77³ + ... + 339³.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×3313094400² = 21953189006622720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39916759 + ... + 39916841.

Almost surely, 2^3313094400 is an apocalyptic number.

3313094400 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 3313094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7728380352).

3313094400 is an abundant number, since it is smaller than the sum of its proper divisors (12143666304).

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

3313094400 is a wasteful number, since it uses less digits than its factorization.

3313094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3313094400 is about 57559.4857516987. The cubic root of 3313094400 is about 1490.7721475718.

Adding to 3313094400 its reverse (44903133), we get a palindrome (3357997533).

The spelling of 3313094400 in words is "three billion, three hundred thirteen million, ninety-four thousand, four hundred".