348930720 has 288 divisors, whose sum is σ = 1276430400. Its totient is φ = 88998912.

The previous prime is 348930719. The next prime is 348930737. The reversal of 348930720 is 27039843.

348930720 is a `hidden beast` number, since 348 + 9 + 307 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5914051 + ... + 5914109.

It is an arithmetic number, because the mean of its divisors is an integer number (4432050).

Almost surely, 2^348930720 is an apocalyptic number.

348930720 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 348930720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638215200).

348930720 is an abundant number, since it is smaller than the sum of its proper divisors (927499680).

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

348930720 is a wasteful number, since it uses less digits than its factorization.

348930720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 348930720 is about 18679.6873635508. The cubic root of 348930720 is about 704.0114710596.

The spelling of 348930720 in words is "three hundred forty-eight million, nine hundred thirty thousand, seven hundred twenty".