3274783200 has 432 divisors, whose sum is σ = 12668095440. Its totient is φ = 791101440.

The previous prime is 3274783163. The next prime is 3274783223. The reversal of 3274783200 is 23874723.

3274783200 is a `hidden beast` number, since 327 + 4 + 7 + 8 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5522104 + ... + 5522696.

It is an arithmetic number, because the mean of its divisors is an integer number (29324295).

Almost surely, 2^3274783200 is an apocalyptic number.

3274783200 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 3274783200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6334047720).

3274783200 is an abundant number, since it is smaller than the sum of its proper divisors (9393312240).

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

3274783200 is a wasteful number, since it uses less digits than its factorization.

3274783200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3274783200 is about 57225.7214895540. The cubic root of 3274783200 is about 1485.0036390755.

The spelling of 3274783200 in words is "three billion, two hundred seventy-four million, seven hundred eighty-three thousand, two hundred".