34412252030416 has 40 divisors (see below), whose sum is σ = 72461225873960. Its totient is φ = 15736866126336.

The previous prime is 34412252030399. The next prime is 34412252030477. The reversal of 34412252030416 is 61403025221443.

It can be written as a sum of positive squares in 4 ways, for example, as 545671780416 + 33866580250000 = 738696^2 + 5819500^2 .

It is a super-2 number, since 2×34412252030416² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 758892555 + ... + 758937898.

It is an arithmetic number, because the mean of its divisors is an integer number (1811530646849).

Almost surely, 2^{34412252030416} is an apocalyptic number.

It is an amenable number.

34412252030416 is an abundant number, since it is smaller than the sum of its proper divisors (38048973843544).

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

34412252030416 is a wasteful number, since it uses less digits than its factorization.

34412252030416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517830583 (or 1517830577 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 34412252030416 its reverse (61403025221443), we get a palindrome (95815277251859).

The spelling of 34412252030416 in words is "thirty-four trillion, four hundred twelve billion, two hundred fifty-two million, thirty thousand, four hundred sixteen".