3394727884800 has 2304 divisors, whose sum is σ = 14869748275200. Its totient is φ = 752467968000.

The previous prime is 3394727884783. The next prime is 3394727884819. The reversal of 3394727884800 is 84887274933.

3394727884800 is a `hidden beast` number, since 3 + 3 + 9 + 4 + 72 + 7 + 88 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47813068765 + ... + 47813068835.

It is an arithmetic number, because the mean of its divisors is an integer number (6453883800).

Almost surely, 2^{3394727884800} is an apocalyptic number.

3394727884800 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 3394727884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7434874137600).

3394727884800 is an abundant number, since it is smaller than the sum of its proper divisors (11475020390400).

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

3394727884800 is an frugal number, since it uses more digits than its factorization.

3394727884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 3394727884800 in words is "three trillion, three hundred ninety-four billion, seven hundred twenty-seven million, eight hundred eighty-four thousand, eight hundred".