34313112240000 has 480 divisors, whose sum is σ = 125189156427720. Its totient is φ = 8318323200000.

The previous prime is 34313112239933. The next prime is 34313112240007. The reversal of 34313112240000 is 4221131343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34313112240007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 28449210 + ... + 29630790.

Almost surely, 2^{34313112240000} is an apocalyptic number.

34313112240000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34313112240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62594578213860).

34313112240000 is an abundant number, since it is smaller than the sum of its proper divisors (90876044187720).

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

34313112240000 is a wasteful number, since it uses less digits than its factorization.

34313112240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181640 (or 1181602 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34313112240000 its reverse (4221131343), we get a palindrome (34317333371343).

The spelling of 34313112240000 in words is "thirty-four trillion, three hundred thirteen billion, one hundred twelve million, two hundred forty thousand".