349778343096 has 512 divisors, whose sum is σ = 1240614144000. Its totient is φ = 88853925888.

The previous prime is 349778343091. The next prime is 349778343179. The reversal of 349778343096 is 690343877943.

349778343096 is a `hidden beast` number, since 3 + 49 + 7 + 78 + 3 + 430 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349778343091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61697350 + ... + 61703018.

It is an arithmetic number, because the mean of its divisors is an integer number (2423074500).

Almost surely, 2^349778343096 is an apocalyptic number.

349778343096 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 349778343096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620307072000).

349778343096 is an abundant number, since it is smaller than the sum of its proper divisors (890835800904).

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

349778343096 is a wasteful number, since it uses less digits than its factorization.

349778343096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5820 (or 5810 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 349778343096 in words is "three hundred forty-nine billion, seven hundred seventy-eight million, three hundred forty-three thousand, ninety-six".