34118977341952 has 160 divisors (see below), whose sum is σ = 70168710571344. Its totient is φ = 16563791462400.

The previous prime is 34118977341929. The next prime is 34118977341979. The reversal of 34118977341952 is 25914377981143.

It can be written as a sum of positive squares in 8 ways, for example, as 33744220416 + 34085233121536 = 183696^2 + 5838256^2 .

It is a super-2 number, since 2×34118977341952² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

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 15 ways as a sum of consecutive naturals, for example, 5527127538 + ... + 5527133710.

Almost surely, 2^{34118977341952} is an apocalyptic number.

34118977341952 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 34118977341952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35084355285672).

34118977341952 is an abundant number, since it is smaller than the sum of its proper divisors (36049733229392).

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

34118977341952 is an equidigital number, since it uses as much as digits as its factorization.

34118977341952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7450 (or 7434 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 64.

The spelling of 34118977341952 in words is "thirty-four trillion, one hundred eighteen billion, nine hundred seventy-seven million, three hundred forty-one thousand, nine hundred fifty-two".