3395228160 has 240 divisors, whose sum is σ = 11128144896. Its totient is φ = 883040256.

The previous prime is 3395228153. The next prime is 3395228167. The reversal of 3395228160 is 618225933.

It is an interprime number because it is at equal distance from previous prime (3395228153) and next prime (3395228167).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (3395228167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26734017 + ... + 26734143.

Almost surely, 2^3395228160 is an apocalyptic number.

3395228160 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 3395228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564072448).

3395228160 is an abundant number, since it is smaller than the sum of its proper divisors (7732916736).

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

3395228160 is an equidigital number, since it uses as much as digits as its factorization.

3395228160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 3395228160 is about 58268.5863909534. The cubic root of 3395228160 is about 1502.9907972357.

The spelling of 3395228160 in words is "three billion, three hundred ninety-five million, two hundred twenty-eight thousand, one hundred sixty".