3394797772800 has 1344 divisors, whose sum is σ = 13310335584000. Its totient is φ = 762996326400.

The previous prime is 3394797772789. The next prime is 3394797772963. The reversal of 3394797772800 is 82777974933.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18755788710 + ... + 18755788890.

It is an arithmetic number, because the mean of its divisors is an integer number (9903523500).

Almost surely, 2^{3394797772800} is an apocalyptic number.

3394797772800 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 3394797772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6655167792000).

3394797772800 is an abundant number, since it is smaller than the sum of its proper divisors (9915537811200).

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

3394797772800 is an equidigital number, since it uses as much as digits as its factorization.

3394797772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 112021056, while the sum is 66.

The spelling of 3394797772800 in words is "three trillion, three hundred ninety-four billion, seven hundred ninety-seven million, seven hundred seventy-two thousand, eight hundred".