3279994948800 has 1176 divisors, whose sum is σ = 12531228543792. Its totient is φ = 844038144000.

The previous prime is 3279994948757. The next prime is 3279994948819. The reversal of 3279994948800 is 88494999723.

3279994948800 is a `hidden beast` number, since 32 + 79 + 9 + 9 + 49 + 488 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5116996480 + ... + 5116997120.

Almost surely, 2^{3279994948800} is an apocalyptic number.

3279994948800 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 3279994948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6265614271896).

3279994948800 is an abundant number, since it is smaller than the sum of its proper divisors (9251233594992).

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

3279994948800 is a wasteful number, since it uses less digits than its factorization.

3279994948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 3279994948800 in words is "three trillion, two hundred seventy-nine billion, nine hundred ninety-four million, nine hundred forty-eight thousand, eight hundred".