3431405452000 has 96 divisors (see below), whose sum is σ = 8434563359040. Its totient is φ = 1371976076800.

The previous prime is 3431405451953. The next prime is 3431405452003. The reversal of 3431405452000 is 2545041343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431405452003) 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, 9246021 + ... + 9609979.

It is an arithmetic number, because the mean of its divisors is an integer number (87860034990).

Almost surely, 2^{3431405452000} 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 3431405452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4217281679520).

3431405452000 is an abundant number, since it is smaller than the sum of its proper divisors (5003157907040).

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

3431405452000 is a wasteful number, since it uses less digits than its factorization.

3431405452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366341 (or 366323 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The spelling of 3431405452000 in words is "three trillion, four hundred thirty-one billion, four hundred five million, four hundred fifty-two thousand".