3368563200 has 630 divisors, whose sum is σ = 13206339729. Its totient is φ = 851005440.

The previous prime is 3368563183. The next prime is 3368563201. The reversal of 3368563200 is 23658633.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3368563200 is a `hidden beast` number, since 33 + 68 + 563 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3301191936 + 67371264 = 57456^2 + 8208^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=41040.

It is a super-2 number, since 2×3368563200² = 22694436064788480000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3368563201) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 177292791 + ... + 177292809.

Almost surely, 2^3368563200 is an apocalyptic number.

3368563200 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 3368563200

3368563200 is an abundant number, since it is smaller than the sum of its proper divisors (9837776529).

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

3368563200 is an frugal number, since it uses more digits than its factorization.

3368563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3368563200 is about 58039.3245997918. The cubic root of 3368563200 is about 1499.0457931215.

The spelling of 3368563200 in words is "three billion, three hundred sixty-eight million, five hundred sixty-three thousand, two hundred".