3402400234200 has 144 divisors (see below), whose sum is σ = 11593468152840. Its totient is φ = 824824281600.

The previous prime is 3402400234171. The next prime is 3402400234213. The reversal of 3402400234200 is 24320042043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 23359909 + ... + 23505108.

Almost surely, 2^{3402400234200} is an apocalyptic number.

3402400234200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3402400234200 is an abundant number, since it is smaller than the sum of its proper divisors (8191067918640).

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

3402400234200 is a wasteful number, since it uses less digits than its factorization.

3402400234200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46865058 (or 46865038 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 3402400234200 its reverse (24320042043), we get a palindrome (3426720276243).

The spelling of 3402400234200 in words is "three trillion, four hundred two billion, four hundred million, two hundred thirty-four thousand, two hundred".