3362862956544 has 2016 divisors, whose sum is σ = 13449059539290. Its totient is φ = 834737799168.

The previous prime is 3362862956533. The next prime is 3362862956581. The reversal of 3362862956544 is 4456592682633.

3362862956544 is a `hidden beast` number, since 3 + 3 + 6 + 2 + 8 + 6 + 29 + 565 + 44 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2177725906944 + 1185137049600 = 1475712^2 + 1088640^2 .

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×3362862956544² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 197815468024 + ... + 197815468040.

Almost surely, 2^{3362862956544} is an apocalyptic number.

3362862956544 is a gapful number since it is divisible by the number (34) 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 3362862956544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6724529769645).

3362862956544 is an abundant number, since it is smaller than the sum of its proper divisors (10086196582746).

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

3362862956544 is an frugal number, since it uses more digits than its factorization.

3362862956544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 42 counting only the distinct ones).

The product of its digits is 223948800, while the sum is 63.

The spelling of 3362862956544 in words is "three trillion, three hundred sixty-two billion, eight hundred sixty-two million, nine hundred fifty-six thousand, five hundred forty-four".