3402332434000 has 80 divisors (see below), whose sum is σ = 8710771666896. Its totient is φ = 1280878080000.

The previous prime is 3402332433959. The next prime is 3402332434009. The reversal of 3402332434000 is 4342332043.

It can be written as a sum of positive squares in 8 ways, for example, as 78828423696 + 3323504010304 = 280764^2 + 1823048^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 3402332434000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402332434009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50000301 + ... + 50068300.

Almost surely, 2^{3402332434000} is an apocalyptic number.

It is an amenable number.

3402332434000 is an abundant number, since it is smaller than the sum of its proper divisors (5308439232896).

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

3402332434000 is a wasteful number, since it uses less digits than its factorization.

3402332434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100068641 (or 100068625 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 3402332434000 its reverse (4342332043), we get a palindrome (3406674766043).

The spelling of 3402332434000 in words is "three trillion, four hundred two billion, three hundred thirty-two million, four hundred thirty-four thousand".