3278131200 has 234 divisors, whose sum is σ = 11744861934. Its totient is φ = 873922560.

The previous prime is 3278131193. The next prime is 3278131201. The reversal of 3278131200 is 21318723.

3278131200 is a `hidden beast` number, since 327 + 8 + 131 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4460544 + 3273670656 = 2112^2 + 57216^2 .

It is a super-2 number, since 2×3278131200² = 21492288328826880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3278131201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 919822 + ... + 923378.

Almost surely, 2^3278131200 is an apocalyptic number.

3278131200 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 3278131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5872430967).

3278131200 is an abundant number, since it is smaller than the sum of its proper divisors (8466730734).

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

3278131200 is a wasteful number, since it uses less digits than its factorization.

3278131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3278131200 is about 57254.9665967940. The cubic root of 3278131200 is about 1485.5095350413.

Adding to 3278131200 its reverse (21318723), we get a palindrome (3299449923).

The spelling of 3278131200 in words is "three billion, two hundred seventy-eight million, one hundred thirty-one thousand, two hundred".