348505740 has 336 divisors, whose sum is σ = 1249377696. Its totient is φ = 80870400.

The previous prime is 348505739. The next prime is 348505747. The reversal of 348505740 is 47505843.

348505740 is a `hidden beast` number, since 3 + 4 + 85 + 0 + 574 + 0 = 666.

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 = 348505695 and 348505704.

It is not an unprimeable number, because it can be changed into a prime (348505747) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 6575554 + ... + 6575606.

It is an arithmetic number, because the mean of its divisors is an integer number (3718386).

Almost surely, 2^348505740 is an apocalyptic number.

348505740 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 348505740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624688848).

348505740 is an abundant number, since it is smaller than the sum of its proper divisors (900871956).

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

348505740 is a wasteful number, since it uses less digits than its factorization.

348505740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 348505740 is about 18668.3084397060. The cubic root of 348505740 is about 703.7255381351.

The spelling of 348505740 in words is "three hundred forty-eight million, five hundred five thousand, seven hundred forty".