3430222100400 has 120 divisors (see below), whose sum is σ = 10988877073104. Its totient is φ = 914664934400.

The previous prime is 3430222100399. The next prime is 3430222100549. The reversal of 3430222100400 is 40012220343.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19618162 + ... + 19792238.

Almost surely, 2^{3430222100400} is an apocalyptic number.

3430222100400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3430222100400 is an abundant number, since it is smaller than the sum of its proper divisors (7558654972704).

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

3430222100400 is a wasteful number, since it uses less digits than its factorization.

3430222100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190519 (or 190508 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 3430222100400 its reverse (40012220343), we get a palindrome (3470234320743).

The spelling of 3430222100400 in words is "three trillion, four hundred thirty billion, two hundred twenty-two million, one hundred thousand, four hundred".