3213201600 has 504 divisors, whose sum is σ = 13207154688. Its totient is φ = 725760000.

The previous prime is 3213201581. The next prime is 3213201601. The reversal of 3213201600 is 61023123.

3213201600 is a `hidden beast` number, since 32 + 1 + 32 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is not an unprimeable number, because it can be changed into a prime (3213201601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12801475 + ... + 12801725.

It is an arithmetic number, because the mean of its divisors is an integer number (26204672).

Almost surely, 2^3213201600 is an apocalyptic number.

3213201600 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 3213201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6603577344).

3213201600 is an abundant number, since it is smaller than the sum of its proper divisors (9993953088).

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

3213201600 is a wasteful number, since it uses less digits than its factorization.

3213201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3213201600 is about 56685.1091557562. The cubic root of 3213201600 is about 1475.6362820277.

Adding to 3213201600 its reverse (61023123), we get a palindrome (3274224723).

The spelling of 3213201600 in words is "three billion, two hundred thirteen million, two hundred one thousand, six hundred".