3432400000000 has 198 divisors, whose sum is σ = 8577805178474. Its totient is φ = 1372800000000.

The previous prime is 3432399999997. The next prime is 3432400000021. The reversal of 3432400000000 is 42343.

It can be written as a sum of positive squares in 9 ways, for example, as 171515252736 + 3260884747264 = 414144^2 + 1805792^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 3432400000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 399995710 + ... + 400004290.

Almost surely, 2^{3432400000000} 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 3432400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4288902589237).

3432400000000 is an abundant number, since it is smaller than the sum of its proper divisors (5145405178474).

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

3432400000000 is an frugal number, since it uses more digits than its factorization.

3432400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8641 (or 8588 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 3432400000000 its reverse (42343), we get a palindrome (3432400042343).

The spelling of 3432400000000 in words is "three trillion, four hundred thirty-two billion, four hundred million", and thus it is an aban number.