349061182596 has 243 divisors, whose sum is σ = 1067878765317. Its totient is φ = 99540342720.

The previous prime is 349061182583. The next prime is 349061182607. The reversal of 349061182596 is 695281160943.

The square root of 349061182596 is 590814.

It is a perfect power (a square), and thus also a powerful number.

349061182596 is a `hidden beast` number, since 3 + 49 + 0 + 6 + 1 + 1 + 8 + 2 + 596 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100100100996 + 248961081600 = 316386^2 + 498960^2 .

It is a tau number, because it is divible by the number of its divisors (243).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 669982816 + ... + 669983336.

Almost surely, 2^349061182596 is an apocalyptic number.

349061182596 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

349061182596 is the 590814-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349061182596

349061182596 is an abundant number, since it is smaller than the sum of its proper divisors (718817582721).

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

349061182596 is an frugal number, since it uses more digits than its factorization.

349061182596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 349061182596 in words is "three hundred forty-nine billion, sixty-one million, one hundred eighty-two thousand, five hundred ninety-six".