3328201840896 has 567 divisors, whose sum is σ = 10309496236977. Its totient is φ = 1071833886720.

The previous prime is 3328201840877. The next prime is 3328201840991. The reversal of 3328201840896 is 6980481028233.

The square root of 3328201840896 is 1824336.

It is a perfect power (a square), and thus also a powerful number.

3328201840896 is a `hidden beast` number, since 3 + 3 + 28 + 201 + 8 + 408 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 160371415296 + 3167830425600 = 400464^2 + 1779840^2 .

It is a super-2 number, since 2×3328201840896² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 32312639181 + ... + 32312639283.

Almost surely, 2^{3328201840896} is an apocalyptic number.

3328201840896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3328201840896 is the 1824336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3328201840896

3328201840896 is an abundant number, since it is smaller than the sum of its proper divisors (6981294396081).

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

3328201840896 is an frugal number, since it uses more digits than its factorization.

3328201840896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 3328201840896 in words is "three trillion, three hundred twenty-eight billion, two hundred one million, eight hundred forty thousand, eight hundred ninety-six".