349791094656 has 320 divisors, whose sum is σ = 1058706633600. Its totient is φ = 114620728320.

The previous prime is 349791094643. The next prime is 349791094717. The reversal of 349791094656 is 656490197943.

349791094656 is a `hidden beast` number, since 3 + 497 + 9 + 1 + 0 + 94 + 6 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 349791094593 and 349791094602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 473329935 + ... + 473330673.

It is an arithmetic number, because the mean of its divisors is an integer number (3308458230).

Almost surely, 2^349791094656 is an apocalyptic number.

349791094656 is a gapful number since it is divisible by the number (36) 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 349791094656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529353316800).

349791094656 is an abundant number, since it is smaller than the sum of its proper divisors (708915538944).

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

349791094656 is an equidigital number, since it uses as much as digits as its factorization.

349791094656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 349791094656 in words is "three hundred forty-nine billion, seven hundred ninety-one million, ninety-four thousand, six hundred fifty-six".