3328916400 has 480 divisors, whose sum is σ = 12507453440. Its totient is φ = 839808000.

The previous prime is 3328916389. The next prime is 3328916407. The reversal of 3328916400 is 46198233.

3328916400 is a `hidden beast` number, since 3 + 3 + 2 + 8 + 9 + 1 + 640 + 0 = 666.

It is a super-2 number, since 2×3328916400² = 22163368796377920000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3328916407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20422719 + ... + 20422881.

Almost surely, 2^3328916400 is an apocalyptic number.

3328916400 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 3328916400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6253726720).

3328916400 is an abundant number, since it is smaller than the sum of its proper divisors (9178537040).

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

3328916400 is a wasteful number, since it uses less digits than its factorization.

3328916400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3328916400 is about 57696.7624741631. The cubic root of 3328916400 is about 1493.1414883406.

The spelling of 3328916400 in words is "three billion, three hundred twenty-eight million, nine hundred sixteen thousand, four hundred".