346541408 has 48 divisors (see below), whose sum is σ = 703299744. Its totient is φ = 167961600.

The previous prime is 346541381. The next prime is 346541473. The reversal of 346541408 is 804145643.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 576308 + ... + 576908.

It is an arithmetic number, because the mean of its divisors is an integer number (14652078).

Almost surely, 2^346541408 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 346541408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351649872).

346541408 is an abundant number, since it is smaller than the sum of its proper divisors (356758336).

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

346541408 is a wasteful number, since it uses less digits than its factorization.

346541408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 346541408 is about 18615.6226863353. The cubic root of 346541408 is about 702.4008770872.

The spelling of 346541408 in words is "three hundred forty-six million, five hundred forty-one thousand, four hundred eight".