34628698112 has 60 divisors (see below), whose sum is σ = 69527862525. Its totient is φ = 17246978048.

The previous prime is 34628698109. The next prime is 34628698187. The reversal of 34628698112 is 21189682643.

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 21592539136 + 13036158976 = 146944^2 + 114176^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=131584.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 134741888 + ... + 134742144.

Almost surely, 2^34628698112 is an apocalyptic number.

34628698112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34628698112

34628698112 is an abundant number, since it is smaller than the sum of its proper divisors (34899164413).

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

34628698112 is an frugal number, since it uses more digits than its factorization.

34628698112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 259 counting only the distinct ones).

The product of its digits is 995328, while the sum is 50.

Multiplying 34628698112 by its sum of digits (50), we get a square (1731434905600 = 1315840²).

The spelling of 34628698112 in words is "thirty-four billion, six hundred twenty-eight million, six hundred ninety-eight thousand, one hundred twelve".