34229418930 has 72 divisors (see below), whose sum is σ = 103526541612. Its totient is φ = 7823866176.

The previous prime is 34229418913. The next prime is 34229418941. The reversal of 34229418930 is 3981492243.

34229418930 is a `hidden beast` number, since 3 + 4 + 229 + 418 + 9 + 3 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31914750609 + 2314668321 = 178647^2 + 48111^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 3876477 + ... + 3885296.

Almost surely, 2^34229418930 is an apocalyptic number.

34229418930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34229418930 is an abundant number, since it is smaller than the sum of its proper divisors (69297122682).

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

34229418930 is a wasteful number, since it uses less digits than its factorization.

34229418930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7761800 (or 7761790 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 34229418930 in words is "thirty-four billion, two hundred twenty-nine million, four hundred eighteen thousand, nine hundred thirty".