349745408 has 36 divisors (see below), whose sum is σ = 701034768. Its totient is φ = 174144000.

The previous prime is 349745401. The next prime is 349745411. The reversal of 349745408 is 804547943.

It is not an unprimeable number, because it can be changed into a prime (349745401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61535 + ... + 66977.

It is an arithmetic number, because the mean of its divisors is an integer number (19473188).

Almost surely, 2^349745408 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 349745408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350517384).

349745408 is an abundant number, since it is smaller than the sum of its proper divisors (351289360).

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

349745408 is an equidigital number, since it uses as much as digits as its factorization.

349745408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5710 (or 5696 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The square root of 349745408 is about 18701.4814386454. The cubic root of 349745408 is about 704.5589569124.

The spelling of 349745408 in words is "three hundred forty-nine million, seven hundred forty-five thousand, four hundred eight".