349729920 has 256 divisors, whose sum is σ = 1274428800. Its totient is φ = 90574848.

The previous prime is 349729909. The next prime is 349729921. The reversal of 349729920 is 29927943.

It is a super-2 number, since 2×349729920² = 244622033886412800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349729921) 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 31 ways as a sum of consecutive naturals, for example, 639087 + ... + 639633.

Almost surely, 2^349729920 is an apocalyptic number.

349729920 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 349729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637214400).

349729920 is an abundant number, since it is smaller than the sum of its proper divisors (924698880).

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

349729920 is a wasteful number, since it uses less digits than its factorization.

349729920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 349729920 is about 18701.0673492183. The cubic root of 349729920 is about 704.5485566136.

The spelling of 349729920 in words is "three hundred forty-nine million, seven hundred twenty-nine thousand, nine hundred twenty".