3441476736 has 144 divisors (see below), whose sum is σ = 10521034290. Its totient is φ = 1079574528.

The previous prime is 3441476699. The next prime is 3441476743. The reversal of 3441476736 is 6376741443.

It can be written as a sum of positive squares in 3 ways, for example, as 2955009600 + 486467136 = 54360^2 + 22056^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3441476691 and 3441476700.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 327760 + ... + 338096.

Almost surely, 2^3441476736 is an apocalyptic number.

3441476736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3441476736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5260517145).

3441476736 is an abundant number, since it is smaller than the sum of its proper divisors (7079557554).

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

3441476736 is a wasteful number, since it uses less digits than its factorization.

3441476736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10391 (or 10359 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The square root of 3441476736 is about 58664.1009135911. The cubic root of 3441476736 is about 1509.7844430105.

The spelling of 3441476736 in words is "three billion, four hundred forty-one million, four hundred seventy-six thousand, seven hundred thirty-six".