348680563920 has 480 divisors, whose sum is σ = 1310498122752. Its totient is φ = 85649965056.

The previous prime is 348680563853. The next prime is 348680563921. The reversal of 348680563920 is 29365086843.

348680563920 is a `hidden beast` number, since 3 + 486 + 80 + 5 + 63 + 9 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348680563921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153399904 + ... + 153402176.

Almost surely, 2^348680563920 is an apocalyptic number.

348680563920 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 348680563920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655249061376).

348680563920 is an abundant number, since it is smaller than the sum of its proper divisors (961817558832).

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

348680563920 is a wasteful number, since it uses less digits than its factorization.

348680563920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 348680563920 in words is "three hundred forty-eight billion, six hundred eighty million, five hundred sixty-three thousand, nine hundred twenty".