349741680 has 160 divisors (see below), whose sum is σ = 1198209024. Its totient is φ = 83939328.

The previous prime is 349741619. The next prime is 349741681. The reversal of 349741680 is 86147943.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349741681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91977 + ... + 95703.

Almost surely, 2^349741680 is an apocalyptic number.

349741680 is a gapful number since it is divisible by the number (30) 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 349741680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599104512).

349741680 is an abundant number, since it is smaller than the sum of its proper divisors (848467344).

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

349741680 is a wasteful number, since it uses less digits than its factorization.

349741680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3783 (or 3777 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 349741680 is about 18701.3817671315. The cubic root of 349741680 is about 704.5564535627.

The spelling of 349741680 in words is "three hundred forty-nine million, seven hundred forty-one thousand, six hundred eighty".