3404305200 has 120 divisors (see below), whose sum is σ = 10918082448. Its totient is φ = 906736640.

The previous prime is 3404305181. The next prime is 3404305217. The reversal of 3404305200 is 25034043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1963534 + ... + 1965266.

Almost surely, 2^3404305200 is an apocalyptic number.

3404305200 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 3404305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459041224).

3404305200 is an abundant number, since it is smaller than the sum of its proper divisors (7513777248).

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

3404305200 is a wasteful number, since it uses less digits than its factorization.

3404305200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 3404305200 is about 58346.4240549496. The cubic root of 3404305200 is about 1504.3290055662.

Adding to 3404305200 its reverse (25034043), we get a palindrome (3429339243).

The spelling of 3404305200 in words is "three billion, four hundred four million, three hundred five thousand, two hundred".