349328460 has 96 divisors (see below), whose sum is σ = 1087414272. Its totient is φ = 83208960.

The previous prime is 349328453. The next prime is 349328467. The reversal of 349328460 is 64823943.

It is an interprime number because it is at equal distance from previous prime (349328453) and next prime (349328467).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (349328467) 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, 16957 + ... + 31403.

It is an arithmetic number, because the mean of its divisors is an integer number (11327232).

Almost surely, 2^349328460 is an apocalyptic number.

349328460 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 349328460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543707136).

349328460 is an abundant number, since it is smaller than the sum of its proper divisors (738085812).

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

349328460 is a wasteful number, since it uses less digits than its factorization.

349328460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14503 (or 14501 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 349328460 is about 18690.3306551810. The cubic root of 349328460 is about 704.2788662565.

The spelling of 349328460 in words is "three hundred forty-nine million, three hundred twenty-eight thousand, four hundred sixty".