3361968 has 60 divisors (see below), whose sum is σ = 9678448. Its totient is φ = 1088640.

The previous prime is 3361951. The next prime is 3361973. The reversal of 3361968 is 8691633.

It is a happy number.

3361968 is a `hidden beast` number, since 33 + 619 + 6 + 8 = 666.

It is a super-2 number, since 2×3361968² = 22605657666048, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 3³ + 3⁷ + 6⁸ + 1 + 9 + 6⁸ + 8³ .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5013 + ... + 5643.

Almost surely, 2^3361968 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 3361968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839224).

3361968 is an abundant number, since it is smaller than the sum of its proper divisors (6316480).

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

3361968 is a wasteful number, since it uses less digits than its factorization.

3361968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 673 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3361968 is about 1833.5670154101. The cubic root of 3361968 is about 149.8066843006.

It can be divided in two parts, 336 and 1968, that added together give a square (2304 = 48²).

The spelling of 3361968 in words is "three million, three hundred sixty-one thousand, nine hundred sixty-eight".