348640128 has 96 divisors (see below), whose sum is σ = 1018447560. Its totient is φ = 114453504.

The previous prime is 348640121. The next prime is 348640129. The reversal of 348640128 is 821046843.

348640128 is a `hidden beast` number, since 3 + 4 + 8 + 640 + 1 + 2 + 8 = 666.

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 a junction number, because it is equal to n+sod(n) for n = 348640092 and 348640101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348640121) 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 11 ways as a sum of consecutive naturals, for example, 74926 + ... + 79442.

Almost surely, 2^348640128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348640128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509223780).

348640128 is an abundant number, since it is smaller than the sum of its proper divisors (669807432).

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

348640128 is a wasteful number, since it uses less digits than its factorization.

348640128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4604 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 348640128 is about 18671.9074547835. The cubic root of 348640128 is about 703.8159815179.

The spelling of 348640128 in words is "three hundred forty-eight million, six hundred forty thousand, one hundred twenty-eight".