3381290384472 has 1536 divisors, whose sum is σ = 12965487575040. Its totient is φ = 774545587200.

The previous prime is 3381290384431. The next prime is 3381290384473. The reversal of 3381290384472 is 2744830921833.

It is a happy number.

3381290384472 is a `hidden beast` number, since 3 + 3 + 8 + 1 + 2 + 90 + 3 + 84 + 472 = 666.

It is a super-2 number, since 2×3381290384472² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3381290384473) 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 383 ways as a sum of consecutive naturals, for example, 26624333673 + ... + 26624333799.

It is an arithmetic number, because the mean of its divisors is an integer number (8441072640).

Almost surely, 2^{3381290384472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3381290384472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6482743787520).

3381290384472 is an abundant number, since it is smaller than the sum of its proper divisors (9584197190568).

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

3381290384472 is a wasteful number, since it uses less digits than its factorization.

3381290384472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3381290384472 in words is "three trillion, three hundred eighty-one billion, two hundred ninety million, three hundred eighty-four thousand, four hundred seventy-two".