34234645140 has 60 divisors (see below), whose sum is σ = 107395354836. Its totient is φ = 9129238272.

The previous prime is 34234645079. The next prime is 34234645199. The reversal of 34234645140 is 4154643243.

34234645140 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 4 + 645 + 1 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24596903556 + 9637741584 = 156834^2 + 98172^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34234645095 and 34234645104.

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 19 ways as a sum of consecutive naturals, for example, 10564629 + ... + 10567868.

Almost surely, 2^34234645140 is an apocalyptic number.

34234645140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34234645140 is an abundant number, since it is smaller than the sum of its proper divisors (73160709696).

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

34234645140 is a wasteful number, since it uses less digits than its factorization.

34234645140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21132518 (or 21132507 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 34234645140 in words is "thirty-four billion, two hundred thirty-four million, six hundred forty-five thousand, one hundred forty".