34483978000 has 40 divisors (see below), whose sum is σ = 83382263640. Its totient is φ = 13793590400.

The previous prime is 34483977989. The next prime is 34483978021. The reversal of 34483978000 is 87938443.

It can be written as a sum of positive squares in 4 ways, for example, as 474716944 + 34009261056 = 21788^2 + 184416^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8618995 + ... + 8622994.

It is an arithmetic number, because the mean of its divisors is an integer number (2084556591).

Almost surely, 2^34483978000 is an apocalyptic number.

It is an amenable number.

34483978000 is an abundant number, since it is smaller than the sum of its proper divisors (48898285640).

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

34483978000 is a wasteful number, since it uses less digits than its factorization.

34483978000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17242012 (or 17241996 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 34483978000 in words is "thirty-four billion, four hundred eighty-three million, nine hundred seventy-eight thousand".