3484643328 has 208 divisors, whose sum is σ = 10477927200. Its totient is φ = 1158561792.

The previous prime is 3484643287. The next prime is 3484643333. The reversal of 3484643328 is 8233464843.

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

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, 8957758 + ... + 8958146.

It is an arithmetic number, because the mean of its divisors is an integer number (50374650).

Almost surely, 2^3484643328 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 3484643328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5238963600).

3484643328 is an abundant number, since it is smaller than the sum of its proper divisors (6993283872).

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

3484643328 is an frugal number, since it uses more digits than its factorization.

3484643328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 394 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The square root of 3484643328 is about 59030.8675863738. The cubic root of 3484643328 is about 1516.0706636235.

The spelling of 3484643328 in words is "three billion, four hundred eighty-four million, six hundred forty-three thousand, three hundred twenty-eight".