3481944064 has 45 divisors (see below), whose sum is σ = 6978813961. Its totient is φ = 1737195520.

The previous prime is 3481944043. The next prime is 3481944101. The reversal of 3481944064 is 4604491843.

The square root of 3481944064 is 59008.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1116094464 + 2365849600 = 33408^2 + 48640^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3481944064.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 7552794 + ... + 7553254.

Almost surely, 2^3481944064 is an apocalyptic number.

3481944064 is the 59008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3481944064

3481944064 is an abundant number, since it is smaller than the sum of its proper divisors (3496869897).

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

3481944064 is an frugal number, since it uses more digits than its factorization.

3481944064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The cubic root of 3481944064 is about 1515.6791044612.

The spelling of 3481944064 in words is "three billion, four hundred eighty-one million, nine hundred forty-four thousand, sixty-four".