349032720 has 160 divisors (see below), whose sum is σ = 1143926784. Its totient is φ = 87897600.

The previous prime is 349032709. The next prime is 349032727. The reversal of 349032720 is 27230943.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (349032727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319375 + ... + 320465.

Almost surely, 2^349032720 is an apocalyptic number.

349032720 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 349032720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571963392).

349032720 is an abundant number, since it is smaller than the sum of its proper divisors (794894064).

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

349032720 is a wasteful number, since it uses less digits than its factorization.

349032720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 349032720 is about 18682.4174024670. The cubic root of 349032720 is about 704.0800636388.

The spelling of 349032720 in words is "three hundred forty-nine million, thirty-two thousand, seven hundred twenty".