349984567296 has 1404 divisors, whose sum is σ = 1394959670832. Its totient is φ = 82301681664.

The previous prime is 349984567259. The next prime is 349984567307. The reversal of 349984567296 is 692765489943.

349984567296 is a `hidden beast` number, since 3 + 499 + 8 + 45 + 6 + 7 + 2 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18420240375 + ... + 18420240393.

Almost surely, 2^349984567296 is an apocalyptic number.

349984567296 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 349984567296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697479835416).

349984567296 is an abundant number, since it is smaller than the sum of its proper divisors (1044975103536).

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

349984567296 is a wasteful number, since it uses less digits than its factorization.

349984567296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 61 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 349984567296 in words is "three hundred forty-nine billion, nine hundred eighty-four million, five hundred sixty-seven thousand, two hundred ninety-six".