3423409200 has 90 divisors (see below), whose sum is σ = 11880193364. Its totient is φ = 912908160.

The previous prime is 3423409193. The next prime is 3423409207. The reversal of 3423409200 is 29043243.

It is a happy number.

3423409200 is a `hidden beast` number, since 34 + 23 + 409 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (3423409193) and next prime (3423409207).

It is a tau number, because it is divible by the number of its divisors (90).

It is not an unprimeable number, because it can be changed into a prime (3423409207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 471874 + ... + 479073.

Almost surely, 2^3423409200 is an apocalyptic number.

3423409200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3423409200 is an abundant number, since it is smaller than the sum of its proper divisors (8456784164).

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

3423409200 is a wasteful number, since it uses less digits than its factorization.

3423409200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950971 (or 950957 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3423409200 is about 58509.9068534552. The cubic root of 3423409200 is about 1507.1377148115.

The spelling of 3423409200 in words is "three billion, four hundred twenty-three million, four hundred nine thousand, two hundred".