348509952000 has 1440 divisors, whose sum is σ = 1515643889760. Its totient is φ = 79659417600.

The previous prime is 348509951957. The next prime is 348509952013. The reversal of 348509952000 is 259905843.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

348509952000 is a `hidden beast` number, since 34 + 8 + 5 + 0 + 99 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 49787135997 + ... + 49787136003.

It is an arithmetic number, because the mean of its divisors is an integer number (1052530479).

Almost surely, 2^348509952000 is an apocalyptic number.

348509952000 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 348509952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757821944880).

348509952000 is an abundant number, since it is smaller than the sum of its proper divisors (1167133937760).

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

348509952000 is an frugal number, since it uses more digits than its factorization.

348509952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 348509952000 in words is "three hundred forty-eight billion, five hundred nine million, nine hundred fifty-two thousand".