349769280 has 448 divisors, whose sum is σ = 1385791488. Its totient is φ = 72990720.

The previous prime is 349769269. The next prime is 349769281. The reversal of 349769280 is 82967943.

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 (48).

It is not an unprimeable number, because it can be changed into a prime (349769281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4791324 + ... + 4791396.

Almost surely, 2^349769280 is an apocalyptic number.

349769280 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 349769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692895744).

349769280 is an abundant number, since it is smaller than the sum of its proper divisors (1036022208).

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

349769280 is a wasteful number, since it uses less digits than its factorization.

349769280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 349769280 is about 18702.1196659630. The cubic root of 349769280 is about 704.5749865236.

It can be divided in two parts, 3 and 49769280, that multiplied together give a triangular number (149307840 = T₁₇₂₈₀).

The spelling of 349769280 in words is "three hundred forty-nine million, seven hundred sixty-nine thousand, two hundred eighty".