340003212010000 has 800 divisors, whose sum is σ = 1062476918553600. Its totient is φ = 102245310720000.

The previous prime is 340003212009949. The next prime is 340003212010019. The reversal of 340003212010000 is 10212300043.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35259065179 + ... + 35259074821.

It is an arithmetic number, because the mean of its divisors is an integer number (1328096148192).

Almost surely, 2^{340003212010000} 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 340003212010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531238459276800).

340003212010000 is an abundant number, since it is smaller than the sum of its proper divisors (722473706543600).

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

340003212010000 is a wasteful number, since it uses less digits than its factorization.

340003212010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11297 (or 11276 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 340003212010000 its reverse (10212300043), we get a palindrome (340013424310043).

The spelling of 340003212010000 in words is "three hundred forty trillion, three billion, two hundred twelve million, ten thousand".