348768720 has 160 divisors (see below), whose sum is σ = 1221469440. Its totient is φ = 91445760.

The previous prime is 348768677. The next prime is 348768727. The reversal of 348768720 is 27867843.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348768727) 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 31 ways as a sum of consecutive naturals, for example, 130437 + ... + 133083.

It is an arithmetic number, because the mean of its divisors is an integer number (7634184).

Almost surely, 2^348768720 is an apocalyptic number.

348768720 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 348768720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610734720).

348768720 is an abundant number, since it is smaller than the sum of its proper divisors (872700720).

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

348768720 is a wasteful number, since it uses less digits than its factorization.

348768720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 348768720 is about 18675.3505991186. The cubic root of 348768720 is about 703.9025024244.

The spelling of 348768720 in words is "three hundred forty-eight million, seven hundred sixty-eight thousand, seven hundred twenty".