3283278105600 has 1320 divisors, whose sum is σ = 12770543570400. Its totient is φ = 832359628800.

The previous prime is 3283278105521. The next prime is 3283278105607. The reversal of 3283278105600 is 65018723823.

3283278105600 is a `hidden beast` number, since 3 + 2 + 8 + 3 + 2 + 7 + 81 + 0 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3283278105607) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4269542016 + ... + 4269542784.

It is an arithmetic number, because the mean of its divisors is an integer number (9674654220).

Almost surely, 2^{3283278105600} is an apocalyptic number.

3283278105600 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 3283278105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6385271785200).

3283278105600 is an abundant number, since it is smaller than the sum of its proper divisors (9487265464800).

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

3283278105600 is a wasteful number, since it uses less digits than its factorization.

3283278105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 3283278105600 in words is "three trillion, two hundred eighty-three billion, two hundred seventy-eight million, one hundred five thousand, six hundred".