349350408 has 288 divisors, whose sum is σ = 1171104480. Its totient is φ = 96422400.

The previous prime is 349350383. The next prime is 349350433. The reversal of 349350408 is 804053943.

It is an interprime number because it is at equal distance from previous prime (349350383) and next prime (349350433).

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 11269353 + ... + 11269383.

It is an arithmetic number, because the mean of its divisors is an integer number (4066335).

Almost surely, 2^349350408 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 349350408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585552240).

349350408 is an abundant number, since it is smaller than the sum of its proper divisors (821754072).

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

349350408 is a wasteful number, since it uses less digits than its factorization.

349350408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 349350408 is about 18690.9177944798. The cubic root of 349350408 is about 704.2936156882.

The spelling of 349350408 in words is "three hundred forty-nine million, three hundred fifty thousand, four hundred eight".