3278484000 has 576 divisors, whose sum is σ = 13467347712. Its totient is φ = 746496000.

The previous prime is 3278483941. The next prime is 3278484031. The reversal of 3278484000 is 4848723.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6731757 + ... + 6732243.

It is an arithmetic number, because the mean of its divisors is an integer number (23380812).

Almost surely, 2^3278484000 is an apocalyptic number.

3278484000 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 3278484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6733673856).

3278484000 is an abundant number, since it is smaller than the sum of its proper divisors (10188863712).

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

3278484000 is a wasteful number, since it uses less digits than its factorization.

3278484000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 3278484000 is about 57258.0474693296. The cubic root of 3278484000 is about 1485.5628244443.

The spelling of 3278484000 in words is "three billion, two hundred seventy-eight million, four hundred eighty-four thousand".