3368044800 has 540 divisors, whose sum is σ = 12765628260. Its totient is φ = 875888640.

The previous prime is 3368044793. The next prime is 3368044819. The reversal of 3368044800 is 84408633.

It can be written as a sum of positive squares in 6 ways, for example, as 246364416 + 3121680384 = 15696^2 + 55872^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×3368044800² = 22687451549614080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 37843156 + ... + 37843244.

Almost surely, 2^3368044800 is an apocalyptic number.

3368044800 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 3368044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6382814130).

3368044800 is an abundant number, since it is smaller than the sum of its proper divisors (9397583460).

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

3368044800 is an equidigital number, since it uses as much as digits as its factorization.

3368044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3368044800 is about 58034.8584903935. The cubic root of 3368044800 is about 1498.9688913724.

The spelling of 3368044800 in words is "three billion, three hundred sixty-eight million, forty-four thousand, eight hundred".