3489647616 has 704 divisors, whose sum is σ = 13572428800. Its totient is φ = 859963392.

The previous prime is 3489647591. The next prime is 3489647617. The reversal of 3489647616 is 6167469843.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3489647617) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47803356 + ... + 47803428.

Almost surely, 2^3489647616 is an apocalyptic number.

3489647616 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 3489647616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6786214400).

3489647616 is an abundant number, since it is smaller than the sum of its proper divisors (10082781184).

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

3489647616 is a wasteful number, since it uses less digits than its factorization.

3489647616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 3489647616 is about 59073.2394236172. The cubic root of 3489647616 is about 1516.7960583137.

The spelling of 3489647616 in words is "three billion, four hundred eighty-nine million, six hundred forty-seven thousand, six hundred sixteen".