34398022050 has 162 divisors, whose sum is σ = 107590490163. Its totient is φ = 7856110080.

The previous prime is 34398022049. The next prime is 34398022063. The reversal of 34398022050 is 5022089343.

34398022050 is a `hidden beast` number, since 343 + 98 + 0 + 220 + 5 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 9465927849 + 24932094201 = 97293^2 + 157899^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=131145.

It is a junction number, because it is equal to n+sod(n) for n = 34398021996 and 34398022014.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 27539826 + ... + 27541074.

Almost surely, 2^34398022050 is an apocalyptic number.

34398022050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34398022050

34398022050 is an abundant number, since it is smaller than the sum of its proper divisors (73192468113).

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

34398022050 is a wasteful number, since it uses less digits than its factorization.

34398022050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 34398022050 in words is "thirty-four billion, three hundred ninety-eight million, twenty-two thousand, fifty".