3402323430000 has 400 divisors, whose sum is σ = 12015975856896. Its totient is φ = 822440960000.

The previous prime is 3402323429987. The next prime is 3402323430059. The reversal of 3402323430000 is 343232043.

It is a tau number, because it is divible by the number of its divisors (400).

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 116475397 + ... + 116504603.

Almost surely, 2^{3402323430000} is an apocalyptic number.

3402323430000 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 3402323430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6007987928448).

3402323430000 is an abundant number, since it is smaller than the sum of its proper divisors (8613652426896).

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

3402323430000 is a wasteful number, since it uses less digits than its factorization.

3402323430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29602 (or 29581 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 3402323430000 its reverse (343232043), we get a palindrome (3402666662043).

The spelling of 3402323430000 in words is "three trillion, four hundred two billion, three hundred twenty-three million, four hundred thirty thousand".