34204146364344 has 64 divisors (see below), whose sum is σ = 94407939642240. Its totient is φ = 10240014604160.

The previous prime is 34204146364277. The next prime is 34204146364387. The reversal of 34204146364344 is 44346364140243.

It is a junction number, because it is equal to n+sod(n) for n = 34204146364293 and 34204146364302.

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, 780467007 + ... + 780510830.

It is an arithmetic number, because the mean of its divisors is an integer number (1475124056910).

Almost surely, 2^{34204146364344} is an apocalyptic number.

It is an amenable number.

34204146364344 is an abundant number, since it is smaller than the sum of its proper divisors (60203793277896).

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

34204146364344 is a wasteful number, since it uses less digits than its factorization.

34204146364344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560977940 (or 1560977936 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 48.

The spelling of 34204146364344 in words is "thirty-four trillion, two hundred four billion, one hundred forty-six million, three hundred sixty-four thousand, three hundred forty-four".