3361177120 has 96 divisors (see below), whose sum is σ = 9102240000. Its totient is φ = 1148967936.

The previous prime is 3361177109. The next prime is 3361177147. The reversal of 3361177120 is 217711633.

It is a super-2 number, since 2×3361177120² = 22595023264022988800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386581 + ... + 395179.

It is an arithmetic number, because the mean of its divisors is an integer number (94815000).

Almost surely, 2^3361177120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3361177120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4551120000).

3361177120 is an abundant number, since it is smaller than the sum of its proper divisors (5741062880).

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

3361177120 is a wasteful number, since it uses less digits than its factorization.

3361177120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8970 (or 8962 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 3361177120 is about 57975.6597202654. The cubic root of 3361177120 is about 1497.9493637975.

Adding to 3361177120 its reverse (217711633), we get a palindrome (3578888753).

The spelling of 3361177120 in words is "three billion, three hundred sixty-one million, one hundred seventy-seven thousand, one hundred twenty".