348291072 has 96 divisors (see below), whose sum is σ = 1007010810. Its totient is φ = 115998720.

The previous prime is 348291067. The next prime is 348291089. The reversal of 348291072 is 270192843.

It can be written as a sum of positive squares in only one way, i.e., 224280576 + 124010496 = 14976^2 + 11136^2 .

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294322 + ... + 295502.

Almost surely, 2^348291072 is an apocalyptic number.

348291072 is a gapful number since it is divisible by the number (32) 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 348291072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503505405).

348291072 is an abundant number, since it is smaller than the sum of its proper divisors (658719738).

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

348291072 is an equidigital number, since it uses as much as digits as its factorization.

348291072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 348291072 is about 18662.5580240223. The cubic root of 348291072 is about 703.5810179120.

The spelling of 348291072 in words is "three hundred forty-eight million, two hundred ninety-one thousand, seventy-two".