3365848442880 has 1728 divisors, whose sum is σ = 15206348626560. Its totient is φ = 698959134720.

The previous prime is 3365848442863. The next prime is 3365848442921. The reversal of 3365848442880 is 882448485633.

3365848442880 is a `hidden beast` number, since 3 + 3 + 6 + 58 + 4 + 84 + 428 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×3365848442880² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2107606242 + ... + 2107607838.

It is an arithmetic number, because the mean of its divisors is an integer number (8799970270).

Almost surely, 2^{3365848442880} is an apocalyptic number.

3365848442880 is a gapful number since it is divisible by the number (30) 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 3365848442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603174313280).

3365848442880 is an abundant number, since it is smaller than the sum of its proper divisors (11840500183680).

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

3365848442880 is a wasteful number, since it uses less digits than its factorization.

3365848442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 141557760, while the sum is 63.

The spelling of 3365848442880 in words is "three trillion, three hundred sixty-five billion, eight hundred forty-eight million, four hundred forty-two thousand, eight hundred eighty".