349419840 has 448 divisors, whose sum is σ = 1439631360. Its totient is φ = 69672960.

The previous prime is 349419839. The next prime is 349419871. The reversal of 349419840 is 48914943.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 349419792 and 349419801.

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 63 ways as a sum of consecutive naturals, for example, 2143599 + ... + 2143761.

Almost surely, 2^349419840 is an apocalyptic number.

349419840 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 349419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719815680).

349419840 is an abundant number, since it is smaller than the sum of its proper divisors (1090211520).

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

349419840 is a wasteful number, since it uses less digits than its factorization.

349419840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 220 counting only the distinct ones).

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

The square root of 349419840 is about 18692.7750748785. The cubic root of 349419840 is about 704.3402711130.

The spelling of 349419840 in words is "three hundred forty-nine million, four hundred nineteen thousand, eight hundred forty".