3357441360 has 1280 divisors, whose sum is σ = 15998976000. Its totient is φ = 627056640.

The previous prime is 3357441359. The next prime is 3357441377. The reversal of 3357441360 is 631447533.

It is a super-2 number, since 2×3357441360² = 22544824971677299200, 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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 108304545 + ... + 108304575.

It is an arithmetic number, because the mean of its divisors is an integer number (12499200).

Almost surely, 2^3357441360 is an apocalyptic number.

3357441360 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 3357441360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7999488000).

3357441360 is an abundant number, since it is smaller than the sum of its proper divisors (12641534640).

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

3357441360 is a wasteful number, since it uses less digits than its factorization.

3357441360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 3357441360 is about 57943.4324147267. The cubic root of 3357441360 is about 1497.3941958110.

Adding to 3357441360 its reverse (631447533), we get a palindrome (3988888893).

The spelling of 3357441360 in words is "three billion, three hundred fifty-seven million, four hundred forty-one thousand, three hundred sixty".