3278163826080 has 1536 divisors, whose sum is σ = 14335768903680. Its totient is φ = 687360245760.

The previous prime is 3278163826039. The next prime is 3278163826103. The reversal of 3278163826080 is 806283618723.

3278163826080 is a `hidden beast` number, since 3 + 27 + 8 + 1 + 6 + 3 + 8 + 2 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2972042809 + ... + 2972043911.

It is an arithmetic number, because the mean of its divisors is an integer number (9333182880).

Almost surely, 2^{3278163826080} is an apocalyptic number.

3278163826080 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 3278163826080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7167884451840).

3278163826080 is an abundant number, since it is smaller than the sum of its proper divisors (11057605077600).

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

3278163826080 is a wasteful number, since it uses less digits than its factorization.

3278163826080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 3278163826080 in words is "three trillion, two hundred seventy-eight billion, one hundred sixty-three million, eight hundred twenty-six thousand, eighty".