3411442944 has 432 divisors, whose sum is σ = 12374474112. Its totient is φ = 879869952.

The previous prime is 3411442933. The next prime is 3411442967. The reversal of 3411442944 is 4492441143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 3411442899 and 3411442908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11112039 + ... + 11112345.

It is an arithmetic number, because the mean of its divisors is an integer number (28644616).

Almost surely, 2^3411442944 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 3411442944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187237056).

3411442944 is an abundant number, since it is smaller than the sum of its proper divisors (8963031168).

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

3411442944 is a wasteful number, since it uses less digits than its factorization.

3411442944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 385 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3411442944 is about 58407.5589628603. The cubic root of 3411442944 is about 1505.3796379320.

The spelling of 3411442944 in words is "three billion, four hundred eleven million, four hundred forty-two thousand, nine hundred forty-four".