348205637052 has 384 divisors, whose sum is σ = 1178444574720. Its totient is φ = 86398202880.

The previous prime is 348205637041. The next prime is 348205637071. The reversal of 348205637052 is 250736502843.

348205637052 is a `hidden beast` number, since 3 + 4 + 8 + 2 + 0 + 5 + 637 + 0 + 5 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 348205636989 and 348205637007.

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 127 ways as a sum of consecutive naturals, for example, 13776058 + ... + 13801310.

It is an arithmetic number, because the mean of its divisors is an integer number (3068866080).

Almost surely, 2^348205637052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348205637052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589222287360).

348205637052 is an abundant number, since it is smaller than the sum of its proper divisors (830238937668).

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

348205637052 is a wasteful number, since it uses less digits than its factorization.

348205637052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25370 (or 25362 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 348205637052 in words is "three hundred forty-eight billion, two hundred five million, six hundred thirty-seven thousand, fifty-two".