3355165440 has 648 divisors, whose sum is σ = 13358807280. Its totient is φ = 775864320.

The previous prime is 3355165417. The next prime is 3355165447. The reversal of 3355165440 is 445615533.

3355165440 is a `hidden beast` number, since 3 + 3 + 55 + 165 + 440 = 666.

3355165440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3355165440² = 22514270259540787200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3355165395 and 3355165404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3355165447) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40423639 + ... + 40423721.

Almost surely, 2^3355165440 is an apocalyptic number.

3355165440 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 3355165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6679403640).

3355165440 is an abundant number, since it is smaller than the sum of its proper divisors (10003641840).

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

3355165440 is a wasteful number, since it uses less digits than its factorization.

3355165440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 3355165440 is about 57923.7899312536. The cubic root of 3355165440 is about 1497.0557714599.

The spelling of 3355165440 in words is "three billion, three hundred fifty-five million, one hundred sixty-five thousand, four hundred forty".