3383222400 has 288 divisors, whose sum is σ = 12233145600. Its totient is φ = 890173440.

The previous prime is 3383222387. The next prime is 3383222429. The reversal of 3383222400 is 42223833.

3383222400 is a `hidden beast` number, since 3 + 38 + 3 + 222 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3383222400² = 22892387615723520000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2274457 + ... + 2275943.

It is an arithmetic number, because the mean of its divisors is an integer number (42476200).

Almost surely, 2^3383222400 is an apocalyptic number.

3383222400 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 3383222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6116572800).

3383222400 is an abundant number, since it is smaller than the sum of its proper divisors (8849923200).

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

3383222400 is a wasteful number, since it uses less digits than its factorization.

3383222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3383222400 is about 58165.4742953240. The cubic root of 3383222400 is about 1501.2171454375.

The spelling of 3383222400 in words is "three billion, three hundred eighty-three million, two hundred twenty-two thousand, four hundred".