3278464800 has 432 divisors, whose sum is σ = 11837054880. Its totient is φ = 787537920.

The previous prime is 3278464793. The next prime is 3278464811. The reversal of 3278464800 is 84648723.

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, 23930332 + ... + 23930468.

It is an arithmetic number, because the mean of its divisors is an integer number (27400590).

Almost surely, 2^3278464800 is an apocalyptic number.

3278464800 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 3278464800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5918527440).

3278464800 is an abundant number, since it is smaller than the sum of its proper divisors (8558590080).

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

3278464800 is a wasteful number, since it uses less digits than its factorization.

3278464800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 3278464800 is about 57257.8798070624. The cubic root of 3278464800 is about 1485.5599244391.

The spelling of 3278464800 in words is "three billion, two hundred seventy-eight million, four hundred sixty-four thousand, eight hundred".