3311033406912 has 672 divisors, whose sum is σ = 12410921502720. Its totient is φ = 818942607360.

The previous prime is 3311033406713. The next prime is 3311033406917. The reversal of 3311033406912 is 2196043301133.

It is a happy number.

3311033406912 is a `hidden beast` number, since 3 + 311 + 0 + 334 + 0 + 6 + 9 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3311033406917) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77106664 + ... + 77149592.

Almost surely, 2^{3311033406912} is an apocalyptic number.

3311033406912 is a gapful number since it is divisible by the number (32) 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 3311033406912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205460751360).

3311033406912 is an abundant number, since it is smaller than the sum of its proper divisors (9099888095808).

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

3311033406912 is a wasteful number, since it uses less digits than its factorization.

3311033406912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43049 (or 43036 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 3311033406912 in words is "three trillion, three hundred eleven billion, thirty-three million, four hundred six thousand, nine hundred twelve".