348206040 has 320 divisors, whose sum is σ = 1441661760. Its totient is φ = 73405440.

The previous prime is 348206029. The next prime is 348206051. The reversal of 348206040 is 40602843.

348206040 is a `hidden beast` number, since 34 + 8 + 20 + 604 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (348206029) and next prime (348206051).

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 = 348205995 and 348206013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 294250 + ... + 295430.

It is an arithmetic number, because the mean of its divisors is an integer number (4505193).

Almost surely, 2^348206040 is an apocalyptic number.

348206040 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 348206040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720830880).

348206040 is an abundant number, since it is smaller than the sum of its proper divisors (1093455720).

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

348206040 is a wasteful number, since it uses less digits than its factorization.

348206040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1211 counting only the distinct ones).

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

The square root of 348206040 is about 18660.2797406684. The cubic root of 348206040 is about 703.5237556819.

Adding to 348206040 its reverse (40602843), we get a palindrome (388808883).

The spelling of 348206040 in words is "three hundred forty-eight million, two hundred six thousand, forty".