3441277728 has 144 divisors (see below), whose sum is σ = 11205806976. Its totient is φ = 981319680.

The previous prime is 3441277727. The next prime is 3441277781. The reversal of 3441277728 is 8277721443.

3441277728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is not an unprimeable number, because it can be changed into a prime (3441277727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1290925 + ... + 1293587.

It is an arithmetic number, because the mean of its divisors is an integer number (77818104).

Almost surely, 2^3441277728 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 3441277728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5602903488).

3441277728 is an abundant number, since it is smaller than the sum of its proper divisors (7764529248).

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

3441277728 is a wasteful number, since it uses less digits than its factorization.

3441277728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3327 (or 3316 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The square root of 3441277728 is about 58662.4047239797. The cubic root of 3441277728 is about 1509.7553406805.

The spelling of 3441277728 in words is "three billion, four hundred forty-one million, two hundred seventy-seven thousand, seven hundred twenty-eight".