348214464 has 140 divisors (see below), whose sum is σ = 1111833184. Its totient is φ = 107122176.

The previous prime is 348214441. The next prime is 348214481. The reversal of 348214464 is 464412843.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64809 + ... + 69975.

Almost surely, 2^348214464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348214464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555916592).

348214464 is an abundant number, since it is smaller than the sum of its proper divisors (763618720).

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

348214464 is a wasteful number, since it uses less digits than its factorization.

348214464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5204 (or 5185 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 348214464 is about 18660.5054593920. The cubic root of 348214464 is about 703.5294289861.

The spelling of 348214464 in words is "three hundred forty-eight million, two hundred fourteen thousand, four hundred sixty-four".