3366089796096 has 320 divisors, whose sum is σ = 10241218627200. Its totient is φ = 1091211264000.

The previous prime is 3366089796089. The next prime is 3366089796253. The reversal of 3366089796096 is 6906979806633.

3366089796096 is a `hidden beast` number, since 3 + 3 + 6 + 6 + 0 + 8 + 9 + 7 + 9 + 609 + 6 = 666.

It is a super-2 number, since 2×3366089796096² (a number of 26 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 75028071 + ... + 75072921.

It is an arithmetic number, because the mean of its divisors is an integer number (32003808210).

Almost surely, 2^{3366089796096} is an apocalyptic number.

3366089796096 is a gapful number since it is divisible by the number (36) 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 3366089796096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120609313600).

3366089796096 is an abundant number, since it is smaller than the sum of its proper divisors (6875128831104).

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

3366089796096 is an equidigital number, since it uses as much as digits as its factorization.

3366089796096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45028 (or 45006 counting only the distinct ones).

The product of its (nonzero) digits is 476171136, while the sum is 72.

The spelling of 3366089796096 in words is "three trillion, three hundred sixty-six billion, eighty-nine million, seven hundred ninety-six thousand, ninety-six".