3328411968 has 252 divisors, whose sum is σ = 11279367840. Its totient is φ = 919226880.

The previous prime is 3328411951. The next prime is 3328411969. The reversal of 3328411968 is 8691148233.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×3328411968² = 22156652457451266048, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3328411969) 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, 3874323 + ... + 3875181.

Almost surely, 2^3328411968 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 3328411968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5639683920).

3328411968 is an abundant number, since it is smaller than the sum of its proper divisors (7950955872).

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

3328411968 is a wasteful number, since it uses less digits than its factorization.

3328411968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 902 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 3328411968 is about 57692.3909020938. The cubic root of 3328411968 is about 1493.0660657602.

The spelling of 3328411968 in words is "three billion, three hundred twenty-eight million, four hundred eleven thousand, nine hundred sixty-eight".