3429781992 has 288 divisors, whose sum is σ = 11686409280. Its totient is φ = 889574400.

The previous prime is 3429781991. The next prime is 3429782021. The reversal of 3429781992 is 2991879243.

3429781992 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3429781991) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5706492 + ... + 5707092.

It is an arithmetic number, because the mean of its divisors is an integer number (40577810).

Almost surely, 2^3429781992 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 3429781992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5843204640).

3429781992 is an abundant number, since it is smaller than the sum of its proper divisors (8256627288).

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

3429781992 is a wasteful number, since it uses less digits than its factorization.

3429781992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 693 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 3429781992 is about 58564.3406178196. The cubic root of 3429781992 is about 1508.0723310530.

The spelling of 3429781992 in words is "three billion, four hundred twenty-nine million, seven hundred eighty-one thousand, nine hundred ninety-two".