349282938096 has 120 divisors (see below), whose sum is σ = 1007662425120. Its totient is φ = 112859371008.

The previous prime is 349282938083. The next prime is 349282938097. The reversal of 349282938096 is 690839282943.

349282938096 is a `hidden beast` number, since 3 + 4 + 92 + 82 + 9 + 380 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349282938097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1311381 + ... + 1555083.

It is an arithmetic number, because the mean of its divisors is an integer number (8397186876).

Almost surely, 2^349282938096 is an apocalyptic number.

349282938096 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 349282938096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503831212560).

349282938096 is an abundant number, since it is smaller than the sum of its proper divisors (658379487024).

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

349282938096 is a wasteful number, since it uses less digits than its factorization.

349282938096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244023 (or 244014 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 349282938096 in words is "three hundred forty-nine billion, two hundred eighty-two million, nine hundred thirty-eight thousand, ninety-six".