34948392200 has 36 divisors (see below), whose sum is σ = 81261159165. Its totient is φ = 13978299360.

The previous prime is 34948392187. The next prime is 34948392223. The reversal of 34948392200 is 229384943.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 34249424356 + 698967844 = 185066^2 + 26438^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=132190.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2637191 + ... + 2650409.

Almost surely, 2^34948392200 is an apocalyptic number.

It is an amenable number.

34948392200 is an abundant number, since it is smaller than the sum of its proper divisors (46312766965).

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

34948392200 is an frugal number, since it uses more digits than its factorization.

34948392200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26454 (or 13226 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The spelling of 34948392200 in words is "thirty-four billion, nine hundred forty-eight million, three hundred ninety-two thousand, two hundred".