34134252506340 has 192 divisors, whose sum is σ = 111057379872768. Its totient is φ = 7671645273600.

The previous prime is 34134252506287. The next prime is 34134252506359. The reversal of 34134252506340 is 4360525243143.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 34134252506292 and 34134252506301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76920577 + ... + 77363063.

It is an arithmetic number, because the mean of its divisors is an integer number (578423853504).

Almost surely, 2^{34134252506340} is an apocalyptic number.

34134252506340 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 34134252506340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55528689936384).

34134252506340 is an abundant number, since it is smaller than the sum of its proper divisors (76923127366428).

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

34134252506340 is a wasteful number, since it uses less digits than its factorization.

34134252506340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445578 (or 445576 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

Adding to 34134252506340 its reverse (4360525243143), we get a palindrome (38494777749483).

The spelling of 34134252506340 in words is "thirty-four trillion, one hundred thirty-four billion, two hundred fifty-two million, five hundred six thousand, three hundred forty".