34012653416 has 48 divisors (see below), whose sum is σ = 74202806340. Its totient is φ = 14573502720.

The previous prime is 34012653413. The next prime is 34012653421. The reversal of 34012653416 is 61435621043.

It can be written as a sum of positive squares in 2 ways, for example, as 33661240900 + 351412516 = 183470^2 + 18746^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (34012653413) 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 11 ways as a sum of consecutive naturals, for example, 2510276 + ... + 2523788.

Almost surely, 2^34012653416 is an apocalyptic number.

It is an amenable number.

34012653416 is an abundant number, since it is smaller than the sum of its proper divisors (40190152924).

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

34012653416 is a wasteful number, since it uses less digits than its factorization.

34012653416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19954 (or 19943 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 34012653416 in words is "thirty-four billion, twelve million, six hundred fifty-three thousand, four hundred sixteen".