349201440 has 360 divisors, whose sum is σ = 1403939628. Its totient is φ = 79027200.

The previous prime is 349201427. The next prime is 349201451. The reversal of 349201440 is 44102943.

It can be written as a sum of positive squares in 2 ways, for example, as 332259984 + 16941456 = 18228^2 + 4116^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3457390 + ... + 3457490.

Almost surely, 2^349201440 is an apocalyptic number.

349201440 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 349201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701969814).

349201440 is an abundant number, since it is smaller than the sum of its proper divisors (1054738188).

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

349201440 is a wasteful number, since it uses less digits than its factorization.

349201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 349201440 is about 18686.9323325151. The cubic root of 349201440 is about 704.1934945060.

The spelling of 349201440 in words is "three hundred forty-nine million, two hundred one thousand, four hundred forty".