3405225600 has 864 divisors, whose sum is σ = 14995468800. Its totient is φ = 731566080.

The previous prime is 3405225583. The next prime is 3405225611. The reversal of 3405225600 is 65225043.

3405225600 is a `hidden beast` number, since 3 + 4 + 0 + 52 + 2 + 5 + 600 = 666.

It is a super-2 number, since 2×3405225600² = 23191122773790720000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 26812737 + ... + 26812863.

Almost surely, 2^3405225600 is an apocalyptic number.

3405225600 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 3405225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7497734400).

3405225600 is an abundant number, since it is smaller than the sum of its proper divisors (11590243200).

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

3405225600 is a wasteful number, since it uses less digits than its factorization.

3405225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3405225600 is about 58354.3108947402. The cubic root of 3405225600 is about 1504.4645652545.

The spelling of 3405225600 in words is "three billion, four hundred five million, two hundred twenty-five thousand, six hundred".