3331928742912 has 880 divisors, whose sum is σ = 12805853829120. Its totient is φ = 837468979200.

The previous prime is 3331928742899. The next prime is 3331928742917. The reversal of 3331928742912 is 2192478291333.

3331928742912 is a `hidden beast` number, since 3 + 3 + 319 + 287 + 42 + 9 + 1 + 2 = 666.

It is a super-2 number, since 2×3331928742912² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331928742917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 197978914 + ... + 197995742.

It is an arithmetic number, because the mean of its divisors is an integer number (14552106624).

Almost surely, 2^{3331928742912} is an apocalyptic number.

3331928742912 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 3331928742912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6402926914560).

3331928742912 is an abundant number, since it is smaller than the sum of its proper divisors (9473925086208).

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

3331928742912 is a wasteful number, since it uses less digits than its factorization.

3331928742912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16910 (or 16883 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 3331928742912 in words is "three trillion, three hundred thirty-one billion, nine hundred twenty-eight million, seven hundred forty-two thousand, nine hundred twelve".