348800043120984 has 1280 divisors, whose sum is σ = 1288439196549120. Its totient is φ = 85544320942080.

The previous prime is 348800043120911. The next prime is 348800043121021. The reversal of 348800043120984 is 489021340008843.

348800043120984 is a `hidden beast` number, since 3 + 48 + 80 + 0 + 0 + 431 + 2 + 0 + 98 + 4 = 666.

It is a super-2 number, since 2×348800043120984² (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 a self number, because there is not a number n which added to its sum of digits gives 348800043120984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 42583324329 + ... + 42583332519.

It is an arithmetic number, because the mean of its divisors is an integer number (1006593122304).

Almost surely, 2^{348800043120984} is an apocalyptic number.

348800043120984 is a gapful number since it is divisible by the number (34) 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 348800043120984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644219598274560).

348800043120984 is an abundant number, since it is smaller than the sum of its proper divisors (939639153428136).

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

348800043120984 is a wasteful number, since it uses less digits than its factorization.

348800043120984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8750 (or 8737 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 348800043120984 in words is "three hundred forty-eight trillion, eight hundred billion, forty-three million, one hundred twenty thousand, nine hundred eighty-four".