348341040 has 320 divisors, whose sum is σ = 1274918400. Its totient is φ = 87284736.

The previous prime is 348341039. The next prime is 348341047. The reversal of 348341040 is 40143843.

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

It is a junction number, because it is equal to n+sod(n) for n = 348340995 and 348341013.

It is not an unprimeable number, because it can be changed into a prime (348341047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4196839 + ... + 4196921.

It is an arithmetic number, because the mean of its divisors is an integer number (3984120).

Almost surely, 2^348341040 is an apocalyptic number.

348341040 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 348341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637459200).

348341040 is an abundant number, since it is smaller than the sum of its proper divisors (926577360).

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

348341040 is a wasteful number, since it uses less digits than its factorization.

348341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 348341040 is about 18663.8966992426. The cubic root of 348341040 is about 703.6146630037.

Adding to 348341040 its reverse (40143843), we get a palindrome (388484883).

The spelling of 348341040 in words is "three hundred forty-eight million, three hundred forty-one thousand, forty".