3198917664 has 96 divisors (see below), whose sum is σ = 9355752000. Its totient is φ = 1063383552.

The previous prime is 3198917663. The next prime is 3198917669. The reversal of 3198917664 is 4667198913.

3198917664 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 (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3198917664.

It is not an unprimeable number, because it can be changed into a prime (3198917663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322572 + ... + 332340.

It is an arithmetic number, because the mean of its divisors is an integer number (97455750).

Almost surely, 2^3198917664 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 3198917664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4677876000).

3198917664 is an abundant number, since it is smaller than the sum of its proper divisors (6156834336).

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

3198917664 is a wasteful number, since it uses less digits than its factorization.

3198917664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10167 (or 10153 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 3198917664 is about 56558.9750967961. The cubic root of 3198917664 is about 1473.4464407250.

The spelling of 3198917664 in words is "three billion, one hundred ninety-eight million, nine hundred seventeen thousand, six hundred sixty-four".