34030000444 has 48 divisors (see below), whose sum is σ = 68960064096. Its totient is φ = 14521856000.

The previous prime is 34030000339. The next prime is 34030000457. The reversal of 34030000444 is 44400003043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 243222 + ... + 356674.

It is an arithmetic number, because the mean of its divisors is an integer number (1436668002).

Almost surely, 2^34030000444 is an apocalyptic number.

34030000444 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34030000444 is an abundant number, since it is smaller than the sum of its proper divisors (34930063652).

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

34030000444 is a wasteful number, since it uses less digits than its factorization.

34030000444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113886 (or 113884 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 34030000444 its reverse (44400003043), we get a palindrome (78430003487).

The spelling of 34030000444 in words is "thirty-four billion, thirty million, four hundred forty-four", and thus it is an aban number.