349397217040 has 80 divisors (see below), whose sum is σ = 818999812800. Its totient is φ = 138618630656.

The previous prime is 349397217023. The next prime is 349397217053. The reversal of 349397217040 is 40712793943.

It is a tau number, because it is divible by the number of its divisors (80).

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, 5539119 + ... + 5601841.

It is an arithmetic number, because the mean of its divisors is an integer number (10237497660).

Almost surely, 2^349397217040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349397217040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409499906400).

349397217040 is an abundant number, since it is smaller than the sum of its proper divisors (469602595760).

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

349397217040 is a wasteful number, since it uses less digits than its factorization.

349397217040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63304 (or 63298 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 49.

The spelling of 349397217040 in words is "three hundred forty-nine billion, three hundred ninety-seven million, two hundred seventeen thousand, forty".