3279670680000 has 560 divisors, whose sum is σ = 12739114878336. Its totient is φ = 733908480000.

The previous prime is 3279670679983. The next prime is 3279670680017. The reversal of 3279670680000 is 860769723.

It is an interprime number because it is at equal distance from previous prime (3279670679983) and next prime (3279670680017).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17064439 + ... + 17255561.

Almost surely, 2^{3279670680000} is an apocalyptic number.

3279670680000 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 3279670680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6369557439168).

3279670680000 is an abundant number, since it is smaller than the sum of its proper divisors (9459444198336).

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

3279670680000 is a wasteful number, since it uses less digits than its factorization.

3279670680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191182 (or 191157 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 3279670680000 in words is "three trillion, two hundred seventy-nine billion, six hundred seventy million, six hundred eighty thousand".