349229880 has 384 divisors, whose sum is σ = 1299916800. Its totient is φ = 83980800.

The previous prime is 349229873. The next prime is 349229893. The reversal of 349229880 is 88922943.

349229880 = T₁₂₁ + T₁₂₂ + ... + T₁₂₇₉.

349229880 is a `hidden beast` number, since 349 + 229 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 5725050 + ... + 5725110.

It is an arithmetic number, because the mean of its divisors is an integer number (3385200).

Almost surely, 2^349229880 is an apocalyptic number.

349229880 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 349229880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649958400).

349229880 is an abundant number, since it is smaller than the sum of its proper divisors (950686920).

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

349229880 is a wasteful number, since it uses less digits than its factorization.

349229880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 349229880 is about 18687.6932765925. The cubic root of 349229880 is about 704.2126111886.

The spelling of 349229880 in words is "three hundred forty-nine million, two hundred twenty-nine thousand, eight hundred eighty".