348495009120 has 672 divisors, whose sum is σ = 1285074201600. Its totient is φ = 89160486912.

The previous prime is 348495009119. The next prime is 348495009197. The reversal of 348495009120 is 21900594843.

348495009120 is a `hidden beast` number, since 34 + 8 + 4 + 9 + 500 + 91 + 20 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 909908449 + ... + 909908831.

It is an arithmetic number, because the mean of its divisors is an integer number (1912312800).

Almost surely, 2^348495009120 is an apocalyptic number.

348495009120 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 348495009120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642537100800).

348495009120 is an abundant number, since it is smaller than the sum of its proper divisors (936579192480).

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

348495009120 is a wasteful number, since it uses less digits than its factorization.

348495009120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 348495009120 in words is "three hundred forty-eight billion, four hundred ninety-five million, nine thousand, one hundred twenty".