3483173664 has 192 divisors, whose sum is σ = 10444412160. Its totient is φ = 1143072000.

The previous prime is 3483173663. The next prime is 3483173719. The reversal of 3483173664 is 4663713843.

It is not an unprimeable number, because it can be changed into a prime (3483173663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4968514 + ... + 4969214.

It is an arithmetic number, because the mean of its divisors is an integer number (54397980).

Almost surely, 2^3483173664 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 3483173664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222206080).

3483173664 is an abundant number, since it is smaller than the sum of its proper divisors (6961238496).

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

3483173664 is an frugal number, since it uses more digits than its factorization.

3483173664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 777 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 3483173664 is about 59018.4180065850. The cubic root of 3483173664 is about 1515.8574971118.

It can be divided in two parts, 3483 and 173664, that added together give a 11-th power (177147 = 3¹¹).

The spelling of 3483173664 in words is "three billion, four hundred eighty-three million, one hundred seventy-three thousand, six hundred sixty-four".