3365444160 has 672 divisors, whose sum is σ = 13656746880. Its totient is φ = 775360512.

The previous prime is 3365444119. The next prime is 3365444177. The reversal of 3365444160 is 614445633.

It is a super-2 number, since 2×3365444160² = 22652428788156211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40547479 + ... + 40547561.

It is an arithmetic number, because the mean of its divisors is an integer number (20322540).

Almost surely, 2^3365444160 is an apocalyptic number.

3365444160 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 3365444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6828373440).

3365444160 is an abundant number, since it is smaller than the sum of its proper divisors (10291302720).

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

3365444160 is a wasteful number, since it uses less digits than its factorization.

3365444160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3365444160 is about 58012.4483193047. The cubic root of 3365444160 is about 1498.5829817945.

Adding to 3365444160 its reverse (614445633), we get a palindrome (3979889793).

The spelling of 3365444160 in words is "three billion, three hundred sixty-five million, four hundred forty-four thousand, one hundred sixty".