349205356096 has 21 divisors (see below), whose sum is σ = 692963759739. Its totient is φ = 174600314304.

The previous prime is 349205356051. The next prime is 349205356121. The reversal of 349205356096 is 690653502943.

The square root of 349205356096 is 590936.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×349205356096² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4690555 + ... + 4764421.

Almost surely, 2^349205356096 is an apocalyptic number.

349205356096 is the 590936-th square number.

It is an amenable number.

349205356096 is a deficient number, since it is larger than the sum of its proper divisors (343758403643).

349205356096 is an frugal number, since it uses more digits than its factorization.

349205356096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147746 (or 73869 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 52.

The spelling of 349205356096 in words is "three hundred forty-nine billion, two hundred five million, three hundred fifty-six thousand, ninety-six".