349408886400 has 1440 divisors, whose sum is σ = 1510609326720. Its totient is φ = 76814438400.

The previous prime is 349408886347. The next prime is 349408886413. The reversal of 349408886400 is 4688804943.

349408886400 is a `hidden beast` number, since 3 + 49 + 40 + 88 + 86 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2143612719 + ... + 2143612881.

Almost surely, 2^349408886400 is an apocalyptic number.

349408886400 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 349408886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755304663360).

349408886400 is an abundant number, since it is smaller than the sum of its proper divisors (1161200440320).

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

349408886400 is a wasteful number, since it uses less digits than its factorization.

349408886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 349408886400 in words is "three hundred forty-nine billion, four hundred eight million, eight hundred eighty-six thousand, four hundred".