3412314500000 has 1008 divisors, whose sum is σ = 10669307181120. Its totient is φ = 1049241600000.

The previous prime is 3412314499969. The next prime is 3412314500003. The reversal of 3412314500000 is 54132143.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (3412314500003) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 35178499952 + ... + 35178500048.

It is an arithmetic number, because the mean of its divisors is an integer number (10584630140).

Almost surely, 2^{3412314500000} 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 3412314500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334653590560).

3412314500000 is an abundant number, since it is smaller than the sum of its proper divisors (7256992681120).

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

3412314500000 is an frugal number, since it uses more digits than its factorization.

3412314500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 3412314500000 its reverse (54132143), we get a palindrome (3412368632143).

The spelling of 3412314500000 in words is "three trillion, four hundred twelve billion, three hundred fourteen million, five hundred thousand".