349272201096 has 384 divisors, whose sum is σ = 1232569094400. Its totient is φ = 90815800320.

The previous prime is 349272201073. The next prime is 349272201097. The reversal of 349272201096 is 690102272943.

349272201096 is a `hidden beast` number, since 3 + 492 + 72 + 2 + 0 + 1 + 0 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (349272201097) 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 95 ways as a sum of consecutive naturals, for example, 9751156 + ... + 9786908.

It is an arithmetic number, because the mean of its divisors is an integer number (3209815350).

Almost surely, 2^349272201096 is an apocalyptic number.

349272201096 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 349272201096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616284547200).

349272201096 is an abundant number, since it is smaller than the sum of its proper divisors (883296893304).

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

349272201096 is a wasteful number, since it uses less digits than its factorization.

349272201096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35866 (or 35849 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 349272201096 in words is "three hundred forty-nine billion, two hundred seventy-two million, two hundred one thousand, ninety-six".