3330201600 has 720 divisors, whose sum is σ = 13639986360. Its totient is φ = 796262400.

The previous prime is 3330201583. The next prime is 3330201659. The reversal of 3330201600 is 61020333.

It is a happy number.

3330201600 is a `hidden beast` number, since 33 + 30 + 2 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3330201600² = 22180485393285120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 45619164 + ... + 45619236.

Almost surely, 2^3330201600 is an apocalyptic number.

3330201600 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 3330201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6819993180).

3330201600 is an abundant number, since it is smaller than the sum of its proper divisors (10309784760).

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

3330201600 is a wasteful number, since it uses less digits than its factorization.

3330201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3330201600 is about 57707.8989394000. The cubic root of 3330201600 is about 1493.3336167800. Note that the first 3 decimals are identical.

Adding to 3330201600 its reverse (61020333), we get a palindrome (3391221933).

The spelling of 3330201600 in words is "three billion, three hundred thirty million, two hundred one thousand, six hundred".