3434203340400 has 240 divisors, whose sum is σ = 13312011619584. Its totient is φ = 738786570240.

The previous prime is 3434203340377. The next prime is 3434203340401. The reversal of 3434203340400 is 40433024343.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434203340401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11881722 + ... + 12167321.

Almost surely, 2^{3434203340400} is an apocalyptic number.

3434203340400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3434203340400 is an abundant number, since it is smaller than the sum of its proper divisors (9877808279184).

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

3434203340400 is a wasteful number, since it uses less digits than its factorization.

3434203340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24049088 (or 24049077 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 3434203340400 its reverse (40433024343), we get a palindrome (3474636364743).

The spelling of 3434203340400 in words is "three trillion, four hundred thirty-four billion, two hundred three million, three hundred forty thousand, four hundred".