349361880 has 128 divisors (see below), whose sum is σ = 1203310080. Its totient is φ = 79488000.

The previous prime is 349361839. The next prime is 349361891. The reversal of 349361880 is 88163943.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210012 + ... + 211668.

It is an arithmetic number, because the mean of its divisors is an integer number (9400860).

Almost surely, 2^349361880 is an apocalyptic number.

349361880 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 349361880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601655040).

349361880 is an abundant number, since it is smaller than the sum of its proper divisors (853948200).

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

349361880 is a wasteful number, since it uses less digits than its factorization.

349361880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 349361880 is about 18691.2246789770. The cubic root of 349361880 is about 704.3013248228.

The spelling of 349361880 in words is "three hundred forty-nine million, three hundred sixty-one thousand, eight hundred eighty".