3411829944 has 64 divisors (see below), whose sum is σ = 9527040000. Its totient is φ = 1131308640.

The previous prime is 3411829937. The next prime is 3411829963. The reversal of 3411829944 is 4499281143.

3411829944 is a `hidden beast` number, since 341 + 18 + 299 + 4 + 4 = 666.

3411829944 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 self number, because there is not a number n which added to its sum of digits gives 3411829944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94 + ... + 82605.

It is an arithmetic number, because the mean of its divisors is an integer number (148860000).

Almost surely, 2^3411829944 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 3411829944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4763520000).

3411829944 is an abundant number, since it is smaller than the sum of its proper divisors (6115210056).

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

3411829944 is a wasteful number, since it uses less digits than its factorization.

3411829944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82905 (or 82895 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 3411829944 is about 58410.8717962675. The cubic root of 3411829944 is about 1505.4365600714.

The spelling of 3411829944 in words is "three billion, four hundred eleven million, eight hundred twenty-nine thousand, nine hundred forty-four".