348645924220320 has 768 divisors, whose sum is σ = 1306441120320000. Its totient is φ = 86585605226496.

The previous prime is 348645924220309. The next prime is 348645924220327. The reversal of 348645924220320 is 23022429546843.

348645924220320 is a `hidden beast` number, since 3 + 4 + 8 + 6 + 4 + 5 + 92 + 4 + 220 + 320 = 666.

It is a super-2 number, since 2×348645924220320² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (348645924220327) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1186155294 + ... + 1186449186.

It is an arithmetic number, because the mean of its divisors is an integer number (1701095208750).

Almost surely, 2^{348645924220320} is an apocalyptic number.

348645924220320 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 348645924220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653220560160000).

348645924220320 is an abundant number, since it is smaller than the sum of its proper divisors (957795196099680).

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

348645924220320 is a wasteful number, since it uses less digits than its factorization.

348645924220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294182 (or 294168 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 348645924220320 in words is "three hundred forty-eight trillion, six hundred forty-five billion, nine hundred twenty-four million, two hundred twenty thousand, three hundred twenty".