3322465776000 has 1920 divisors, whose sum is σ = 14512687263360. Its totient is φ = 751074508800.

The previous prime is 3322465775999. The next prime is 3322465776031. The reversal of 3322465776000 is 6775642233.

3322465776000 is a `hidden beast` number, since 3 + 32 + 2 + 4 + 6 + 5 + 7 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×3322465776000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7175951769 + ... + 7175952231.

It is an arithmetic number, because the mean of its divisors is an integer number (7558691283).

Almost surely, 2^{3322465776000} is an apocalyptic number.

3322465776000 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 3322465776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7256343631680).

3322465776000 is an abundant number, since it is smaller than the sum of its proper divisors (11190221487360).

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

3322465776000 is a wasteful number, since it uses less digits than its factorization.

3322465776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 3322465776000 in words is "three trillion, three hundred twenty-two billion, four hundred sixty-five million, seven hundred seventy-six thousand".