3432440000000 has 640 divisors, whose sum is σ = 9710482953600. Its totient is φ = 1200640000000.

The previous prime is 3432439999999. The next prime is 3432440000009. The reversal of 3432440000000 is 442343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3432440000009) 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, 12759999866 + ... + 12760000134.

It is an arithmetic number, because the mean of its divisors is an integer number (15172629615).

Almost surely, 2^{3432440000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3432440000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855241476800).

3432440000000 is an abundant number, since it is smaller than the sum of its proper divisors (6278042953600).

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

3432440000000 is an frugal number, since it uses more digits than its factorization.

3432440000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 3432440000000 its reverse (442343), we get a palindrome (3432440442343).

The spelling of 3432440000000 in words is "three trillion, four hundred thirty-two billion, four hundred forty million", and thus it is an aban number.