349429947876 has 81 divisors (see below), whose sum is σ = 894805253251. Its totient is φ = 114976371504.

The previous prime is 349429947833. The next prime is 349429947877. The reversal of 349429947876 is 678749924943.

The square root of 349429947876 is 591126.

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

349429947876 is a `hidden beast` number, since 3 + 49 + 42 + 9 + 9 + 478 + 76 = 666.

It is a super-2 number, since 2×349429947876² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (349429947877) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 294380155 + ... + 294381341.

Almost surely, 2^349429947876 is an apocalyptic number.

349429947876 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

349429947876 is the 591126-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349429947876

349429947876 is an abundant number, since it is smaller than the sum of its proper divisors (545375305375).

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

349429947876 is an equidigital number, since it uses as much as digits as its factorization.

349429947876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 1275 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 72.

The spelling of 349429947876 in words is "three hundred forty-nine billion, four hundred twenty-nine million, nine hundred forty-seven thousand, eight hundred seventy-six".