349470720 has 256 divisors, whose sum is σ = 1258272000. Its totient is φ = 92012544.

The previous prime is 349470707. The next prime is 349470749. The reversal of 349470720 is 27074943.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4423641 + ... + 4423719.

It is an arithmetic number, because the mean of its divisors is an integer number (4915125).

Almost surely, 2^349470720 is an apocalyptic number.

349470720 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 349470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629136000).

349470720 is an abundant number, since it is smaller than the sum of its proper divisors (908801280).

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

349470720 is an frugal number, since it uses more digits than its factorization.

349470720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 349470720 is about 18694.1359789641. The cubic root of 349470720 is about 704.3744564393.

The spelling of 349470720 in words is "three hundred forty-nine million, four hundred seventy thousand, seven hundred twenty".