34073735123140 has 48 divisors (see below), whose sum is σ = 72055708874352. Its totient is φ = 13534199917056.

The previous prime is 34073735123137. The next prime is 34073735123143. The reversal of 34073735123140 is 4132153737043.

It is an interprime number because it is at equal distance from previous prime (34073735123137) and next prime (34073735123143).

It can be written as a sum of positive squares in 8 ways, for example, as 6021055918656 + 28052679204484 = 2453784^2 + 5296478^2 .

It is a super-2 number, since 2×34073735123140² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34073735123143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1617114 + ... + 8412046.

It is an arithmetic number, because the mean of its divisors is an integer number (1501160601549).

Almost surely, 2^{34073735123140} is an apocalyptic number.

It is an amenable number.

34073735123140 is an abundant number, since it is smaller than the sum of its proper divisors (37981973751212).

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

34073735123140 is a wasteful number, since it uses less digits than its factorization.

34073735123140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6796696 (or 6796694 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 43.

The spelling of 34073735123140 in words is "thirty-four trillion, seventy-three billion, seven hundred thirty-five million, one hundred twenty-three thousand, one hundred forty".