349507063200 has 288 divisors, whose sum is σ = 1151395680960. Its totient is φ = 92078899200.

The previous prime is 349507063181. The next prime is 349507063201. The reversal of 349507063200 is 2360705943.

It is not an unprimeable number, because it can be changed into a prime (349507063201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192990295 + ... + 192992105.

It is an arithmetic number, because the mean of its divisors is an integer number (3997901670).

Almost surely, 2^349507063200 is an apocalyptic number.

349507063200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349507063200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575697840480).

349507063200 is an abundant number, since it is smaller than the sum of its proper divisors (801888617760).

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

349507063200 is a wasteful number, since it uses less digits than its factorization.

349507063200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The spelling of 349507063200 in words is "three hundred forty-nine billion, five hundred seven million, sixty-three thousand, two hundred".