3201638400 has 420 divisors, whose sum is σ = 11921810802. Its totient is φ = 849346560.

The previous prime is 3201638393. The next prime is 3201638443. The reversal of 3201638400 is 48361023.

It is a happy number.

3201638400 is a `hidden beast` number, since 3 + 20 + 1 + 638 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1967099904 + 1234538496 = 44352^2 + 35136^2 .

It is a super-3 number, since 3×3201638400³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16588704 + ... + 16588896.

Almost surely, 2^3201638400 is an apocalyptic number.

3201638400 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 3201638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960905401).

3201638400 is an abundant number, since it is smaller than the sum of its proper divisors (8720172402).

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

3201638400 is an equidigital number, since it uses as much as digits as its factorization.

3201638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3201638400 is about 56583.0221886389. The cubic root of 3201638400 is about 1473.8640530966.

Adding to 3201638400 its reverse (48361023), we get a palindrome (3249999423).

It can be divided in two parts, 3201 and 638400, that added together give a square (641601 = 801²).

The spelling of 3201638400 in words is "three billion, two hundred one million, six hundred thirty-eight thousand, four hundred".