3278225820672 has 1320 divisors, whose sum is σ = 11618680130640. Its totient is φ = 912277831680.

The previous prime is 3278225820671. The next prime is 3278225820697. The reversal of 3278225820672 is 2760285228723.

3278225820672 is a `hidden beast` number, since 3 + 278 + 225 + 82 + 0 + 6 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3278225820671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12186712954 + ... + 12186713222.

It is an arithmetic number, because the mean of its divisors is an integer number (8802030402).

Almost surely, 2^{3278225820672} is an apocalyptic number.

3278225820672 is a gapful number since it is divisible by the number (32) 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 3278225820672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809340065320).

3278225820672 is an abundant number, since it is smaller than the sum of its proper divisors (8340454309968).

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

3278225820672 is a wasteful number, since it uses less digits than its factorization.

3278225820672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 3278225820672 in words is "three trillion, two hundred seventy-eight billion, two hundred twenty-five million, eight hundred twenty thousand, six hundred seventy-two".