3429783126 has 144 divisors (see below), whose sum is σ = 9467312400. Its totient is φ = 887362560.

The previous prime is 3429783113. The next prime is 3429783143. The reversal of 3429783126 is 6213879243.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3269050 + ... + 3270098.

It is an arithmetic number, because the mean of its divisors is an integer number (65745225).

Almost surely, 2^3429783126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3429783126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4733656200).

3429783126 is an abundant number, since it is smaller than the sum of its proper divisors (6037529274).

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

3429783126 is a wasteful number, since it uses less digits than its factorization.

3429783126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1409 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 3429783126 is about 58564.3502994783. The cubic root of 3429783126 is about 1508.0724972593.

The spelling of 3429783126 in words is "three billion, four hundred twenty-nine million, seven hundred eighty-three thousand, one hundred twenty-six".