34057946074344 has 32 divisors (see below), whose sum is σ = 85145260020000. Its totient is φ = 11352596046912.

The previous prime is 34057946074309. The next prime is 34057946074357. The reversal of 34057946074344 is 44347064975043.

It is a happy number.

It is a super-3 number, since 3×34057946074344³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2178582 + ... + 8535930.

It is an arithmetic number, because the mean of its divisors is an integer number (2660789375625).

Almost surely, 2^{34057946074344} is an apocalyptic number.

It is an amenable number.

34057946074344 is an abundant number, since it is smaller than the sum of its proper divisors (51087313945656).

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

34057946074344 is a wasteful number, since it uses less digits than its factorization.

34057946074344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6580577 (or 6580573 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 60.

The spelling of 34057946074344 in words is "thirty-four trillion, fifty-seven billion, nine hundred forty-six million, seventy-four thousand, three hundred forty-four".