349281408 has 192 divisors, whose sum is σ = 1137218400. Its totient is φ = 94445568.

The previous prime is 349281407. The next prime is 349281437. The reversal of 349281408 is 804182943.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (349281407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357016 + ... + 357992.

Almost surely, 2^349281408 is an apocalyptic number.

349281408 is a gapful number since it is divisible by the number (38) 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 349281408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568609200).

349281408 is an abundant number, since it is smaller than the sum of its proper divisors (787936992).

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

349281408 is a wasteful number, since it uses less digits than its factorization.

349281408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 349281408 is about 18689.0718870681. The cubic root of 349281408 is about 704.2472444249.

The spelling of 349281408 in words is "three hundred forty-nine million, two hundred eighty-one thousand, four hundred eight".