34346546742 has 32 divisors (see below), whose sum is σ = 69743520000. Its totient is φ = 11273901408.

The previous prime is 34346546713. The next prime is 34346546761. The reversal of 34346546742 is 24764564343.

It is a junction number, because it is equal to n+sod(n) for n = 34346546691 and 34346546700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1223884 + ... + 1251632.

It is an arithmetic number, because the mean of its divisors is an integer number (2179485000).

Almost surely, 2^34346546742 is an apocalyptic number.

34346546742 is an abundant number, since it is smaller than the sum of its proper divisors (35396973258).

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

34346546742 is a wasteful number, since it uses less digits than its factorization.

34346546742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30900.

The product of its digits is 5806080, while the sum is 48.

The spelling of 34346546742 in words is "thirty-four billion, three hundred forty-six million, five hundred forty-six thousand, seven hundred forty-two".