34504041351872 has 56 divisors (see below), whose sum is σ = 70609663504800. Its totient is φ = 16718278154240.

The previous prime is 34504041351839. The next prime is 34504041351877. The reversal of 34504041351872 is 27815314040543.

It is a super-2 number, since 2×34504041351872² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34504041351877) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 43734548 + ... + 44516499.

It is an arithmetic number, because the mean of its divisors is an integer number (1260886848300).

Almost surely, 2^{34504041351872} is an apocalyptic number.

34504041351872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34504041351872 is an abundant number, since it is smaller than the sum of its proper divisors (36105622152928).

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

34504041351872 is a wasteful number, since it uses less digits than its factorization.

34504041351872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88251249 (or 88251239 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 47.

The spelling of 34504041351872 in words is "thirty-four trillion, five hundred four billion, forty-one million, three hundred fifty-one thousand, eight hundred seventy-two".