349776193248 has 480 divisors, whose sum is σ = 1129255852032. Its totient is φ = 105859353600.

The previous prime is 349776193231. The next prime is 349776193253. The reversal of 349776193248 is 842391677943.

349776193248 is a `hidden beast` number, since 3 + 4 + 9 + 7 + 7 + 619 + 3 + 2 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 97947303 + ... + 97950873.

Almost surely, 2^349776193248 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 349776193248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564627926016).

349776193248 is an abundant number, since it is smaller than the sum of its proper divisors (779479658784).

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

349776193248 is a wasteful number, since it uses less digits than its factorization.

349776193248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 3683 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 349776193248 in words is "three hundred forty-nine billion, seven hundred seventy-six million, one hundred ninety-three thousand, two hundred forty-eight".