349408080 has 200 divisors, whose sum is σ = 1387089792. Its totient is φ = 79854336.

The previous prime is 349408069. The next prime is 349408117. The reversal of 349408080 is 80804943.

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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41509 + ... + 49211.

Almost surely, 2^349408080 is an apocalyptic number.

349408080 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 349408080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693544896).

349408080 is an abundant number, since it is smaller than the sum of its proper divisors (1037681712).

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

349408080 is a wasteful number, since it uses less digits than its factorization.

349408080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7735 (or 7720 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 349408080 is about 18692.4605121958. The cubic root of 349408080 is about 704.3323693155.

The spelling of 349408080 in words is "three hundred forty-nine million, four hundred eight thousand, eighty".