348935040 has 320 divisors, whose sum is σ = 1279618560. Its totient is φ = 90574848.

The previous prime is 348935023. The next prime is 348935053. The reversal of 348935040 is 40539843.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 348934986 and 348935004.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2747457 + ... + 2747583.

It is an arithmetic number, because the mean of its divisors is an integer number (3998808).

Almost surely, 2^348935040 is an apocalyptic number.

348935040 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 348935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639809280).

348935040 is an abundant number, since it is smaller than the sum of its proper divisors (930683520).

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

348935040 is a wasteful number, since it uses less digits than its factorization.

348935040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 348935040 is about 18679.8029968199. The cubic root of 348935040 is about 704.0143764282.

The spelling of 348935040 in words is "three hundred forty-eight million, nine hundred thirty-five thousand, forty".