3429781234176 has 240 divisors, whose sum is σ = 10164364876512. Its totient is φ = 1026801008640.

The previous prime is 3429781234171. The next prime is 3429781234177. The reversal of 3429781234176 is 6714321879243.

It is not an unprimeable number, because it can be changed into a prime (3429781234171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15314880 + ... + 15537216.

Almost surely, 2^{3429781234176} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3429781234176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5082182438256).

3429781234176 is an abundant number, since it is smaller than the sum of its proper divisors (6734583642336).

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

3429781234176 is a wasteful number, since it uses less digits than its factorization.

3429781234176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222463 (or 222436 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 57.

The spelling of 3429781234176 in words is "three trillion, four hundred twenty-nine billion, seven hundred eighty-one million, two hundred thirty-four thousand, one hundred seventy-six".