348001164 has 144 divisors (see below), whose sum is σ = 1067673600. Its totient is φ = 96020640.

The previous prime is 348001097. The next prime is 348001183. The reversal of 348001164 is 461100843.

It is a super-2 number, since 2×348001164² = 242209620290709792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726277 + ... + 726755.

It is an arithmetic number, because the mean of its divisors is an integer number (7414400).

Almost surely, 2^348001164 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 348001164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533836800).

348001164 is an abundant number, since it is smaller than the sum of its proper divisors (719672436).

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

348001164 is a wasteful number, since it uses less digits than its factorization.

348001164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 348001164 is about 18654.7893046263. The cubic root of 348001164 is about 703.3857498327.

The spelling of 348001164 in words is "three hundred forty-eight million, one thousand, one hundred sixty-four".