34130422344000 has 224 divisors, whose sum is σ = 112704751366272. Its totient is φ = 9100953600000.

The previous prime is 34130422343993. The next prime is 34130422344043. The reversal of 34130422344000 is 44322403143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 741120975 + ... + 741167025.

Almost surely, 2^{34130422344000} is an apocalyptic number.

34130422344000 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 34130422344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56352375683136).

34130422344000 is an abundant number, since it is smaller than the sum of its proper divisors (78574329022272).

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

34130422344000 is a wasteful number, since it uses less digits than its factorization.

34130422344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76962 (or 76942 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 34130422344000 its reverse (44322403143), we get a palindrome (34174744747143).

The spelling of 34130422344000 in words is "thirty-four trillion, one hundred thirty billion, four hundred twenty-two million, three hundred forty-four thousand".