34122203040 has 192 divisors, whose sum is σ = 111100502016. Its totient is φ = 8797873152.

The previous prime is 34122203009. The next prime is 34122203051. The reversal of 34122203040 is 4030222143.

It is a junction number, because it is equal to n+sod(n) for n = 34122202998 and 34122203016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1863369 + ... + 1881591.

It is an arithmetic number, because the mean of its divisors is an integer number (578648448).

Almost surely, 2^34122203040 is an apocalyptic number.

34122203040 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 34122203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55550251008).

34122203040 is an abundant number, since it is smaller than the sum of its proper divisors (76978298976).

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

34122203040 is a wasteful number, since it uses less digits than its factorization.

34122203040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18371 (or 18363 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 34122203040 its reverse (4030222143), we get a palindrome (38152425183).

The spelling of 34122203040 in words is "thirty-four billion, one hundred twenty-two million, two hundred three thousand, forty".