349701408 has 192 divisors, whose sum is σ = 1184440320. Its totient is φ = 98309376.

The previous prime is 349701383. The next prime is 349701419. The reversal of 349701408 is 804107943.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404785 + ... + 405647.

It is an arithmetic number, because the mean of its divisors is an integer number (6168960).

Almost surely, 2^349701408 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 349701408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592220160).

349701408 is an abundant number, since it is smaller than the sum of its proper divisors (834738912).

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

349701408 is a wasteful number, since it uses less digits than its factorization.

349701408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 349701408 is about 18700.3050242503. The cubic root of 349701408 is about 704.5294098061.

The spelling of 349701408 in words is "three hundred forty-nine million, seven hundred one thousand, four hundred eight".