34004414220 has 96 divisors (see below), whose sum is σ = 115214980608. Its totient is φ = 7315233792.

The previous prime is 34004414201. The next prime is 34004414231. The reversal of 34004414220 is 2241440043.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2374122 + ... + 2388401.

It is an arithmetic number, because the mean of its divisors is an integer number (1200156048).

Almost surely, 2^34004414220 is an apocalyptic number.

34004414220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34004414220 is an abundant number, since it is smaller than the sum of its proper divisors (81210566388).

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

34004414220 is a wasteful number, since it uses less digits than its factorization.

34004414220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4762559 (or 4762557 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 34004414220 its reverse (2241440043), we get a palindrome (36245854263).

The spelling of 34004414220 in words is "thirty-four billion, four million, four hundred fourteen thousand, two hundred twenty".