3405025200 has 240 divisors, whose sum is σ = 11694001536. Its totient is φ = 843878400.

The previous prime is 3405025193. The next prime is 3405025237. The reversal of 3405025200 is 25205043.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3405025200² = 23188393225270080000, 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 47 ways as a sum of consecutive naturals, for example, 1692195 + ... + 1694205.

Almost surely, 2^3405025200 is an apocalyptic number.

3405025200 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 3405025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5847000768).

3405025200 is an abundant number, since it is smaller than the sum of its proper divisors (8288976336).

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

3405025200 is a wasteful number, since it uses less digits than its factorization.

3405025200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 3405025200 is about 58352.5937726850. The cubic root of 3405025200 is about 1504.4350517313.

The spelling of 3405025200 in words is "three billion, four hundred five million, twenty-five thousand, two hundred".