348606720000 has 1920 divisors, whose sum is σ = 1621101081600. Its totient is φ = 71884800000.

The previous prime is 348606719899. The next prime is 348606720029. The reversal of 348606720000 is 27606843.

348606720000 is a `hidden beast` number, since 3 + 48 + 606 + 7 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2661119935 + ... + 2661120065.

It is an arithmetic number, because the mean of its divisors is an integer number (844323480).

Almost surely, 2^348606720000 is an apocalyptic number.

348606720000 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 348606720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810550540800).

348606720000 is an abundant number, since it is smaller than the sum of its proper divisors (1272494361600).

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

348606720000 is a wasteful number, since it uses less digits than its factorization.

348606720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 348606720000 in words is "three hundred forty-eight billion, six hundred six million, seven hundred twenty thousand".