3295616544 has 216 divisors, whose sum is σ = 10624028688. Its totient is φ = 997971840.

The previous prime is 3295616539. The next prime is 3295616563. The reversal of 3295616544 is 4456165923.

3295616544 is a `hidden beast` number, since 3 + 2 + 95 + 6 + 16 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×3295616544² = 21722176810173007872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3295616544.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2308759 + ... + 2310185.

It is an arithmetic number, because the mean of its divisors is an integer number (49185318).

Almost surely, 2^3295616544 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 3295616544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312014344).

3295616544 is an abundant number, since it is smaller than the sum of its proper divisors (7328412144).

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

3295616544 is an equidigital number, since it uses as much as digits as its factorization.

3295616544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1443 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 3295616544 is about 57407.4606998080. The cubic root of 3295616544 is about 1488.1460574632.

The spelling of 3295616544 in words is "three billion, two hundred ninety-five million, six hundred sixteen thousand, five hundred forty-four".