3365228160 has 512 divisors, whose sum is σ = 13959475200. Its totient is φ = 750145536.

The previous prime is 3365228159. The next prime is 3365228173. The reversal of 3365228160 is 618225633.

It is a happy number.

It is a super-2 number, since 2×3365228160² = 22649521137713971200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5200957 + ... + 5201603.

It is an arithmetic number, because the mean of its divisors is an integer number (27264600).

Almost surely, 2^3365228160 is an apocalyptic number.

3365228160 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 3365228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6979737600).

3365228160 is an abundant number, since it is smaller than the sum of its proper divisors (10594247040).

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

3365228160 is a wasteful number, since it uses less digits than its factorization.

3365228160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3365228160 is about 58010.5866200300. The cubic root of 3365228160 is about 1498.5509205633.

The spelling of 3365228160 in words is "three billion, three hundred sixty-five million, two hundred twenty-eight thousand, one hundred sixty".