349482720 has 96 divisors (see below), whose sum is σ = 1117404288. Its totient is φ = 91795968.

The previous prime is 349482697. The next prime is 349482733. The reversal of 349482720 is 27284943.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26727 + ... + 37593.

It is an arithmetic number, because the mean of its divisors is an integer number (11639628).

Almost surely, 2^349482720 is an apocalyptic number.

349482720 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 349482720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558702144).

349482720 is an abundant number, since it is smaller than the sum of its proper divisors (767921568).

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

349482720 is a wasteful number, since it uses less digits than its factorization.

349482720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10952 (or 10944 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 349482720 is about 18694.4569324707. The cubic root of 349482720 is about 704.3825185327.

The spelling of 349482720 in words is "three hundred forty-nine million, four hundred eighty-two thousand, seven hundred twenty".