3380162688 has 288 divisors, whose sum is σ = 11407591260. Its totient is φ = 957874176.

The previous prime is 3380162677. The next prime is 3380162689. The reversal of 3380162688 is 8862610833.

3380162688 is a `hidden beast` number, since 3 + 380 + 1 + 6 + 268 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3281914944 + 98247744 = 57288^2 + 9912^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3380162688² = 22850999594694770688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3380162689) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13152256 + ... + 13152512.

Almost surely, 2^3380162688 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 3380162688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5703795630).

3380162688 is an abundant number, since it is smaller than the sum of its proper divisors (8027428572).

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

3380162688 is a wasteful number, since it uses less digits than its factorization.

3380162688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3380162688 is about 58139.1665574938. The cubic root of 3380162688 is about 1500.7644530082.

The spelling of 3380162688 in words is "three billion, three hundred eighty million, one hundred sixty-two thousand, six hundred eighty-eight".