3278766400 has 252 divisors, whose sum is σ = 10110074268. Its totient is φ = 1037352960.

The previous prime is 3278766391. The next prime is 3278766431. The reversal of 3278766400 is 46678723.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 35236096 + 3243530304 = 5936^2 + 56952^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1017592 + ... + 1020808.

Almost surely, 2^3278766400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3278766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5055037134).

3278766400 is an abundant number, since it is smaller than the sum of its proper divisors (6831307868).

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

3278766400 is a wasteful number, since it uses less digits than its factorization.

3278766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 43.

The square root of 3278766400 is about 57260.5134451308. The cubic root of 3278766400 is about 1485.6054773795.

The spelling of 3278766400 in words is "three billion, two hundred seventy-eight million, seven hundred sixty-six thousand, four hundred".