3432334434000 has 320 divisors, whose sum is σ = 11345836320000. Its totient is φ = 892170240000.

The previous prime is 3432334433977. The next prime is 3432334434007. The reversal of 3432334434000 is 4344332343.

3432334434000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3432334434007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307248415 + ... + 307259585.

It is an arithmetic number, because the mean of its divisors is an integer number (35455738500).

Almost surely, 2^{3432334434000} is an apocalyptic number.

3432334434000 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 3432334434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5672918160000).

3432334434000 is an abundant number, since it is smaller than the sum of its proper divisors (7913501886000).

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

3432334434000 is a wasteful number, since it uses less digits than its factorization.

3432334434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12487 (or 12471 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 33.

Adding to 3432334434000 its reverse (4344332343), we get a palindrome (3436678766343).

The spelling of 3432334434000 in words is "three trillion, four hundred thirty-two billion, three hundred thirty-four million, four hundred thirty-four thousand".