3384021783744 has 1008 divisors, whose sum is σ = 12127968103680. Its totient is φ = 897496104960.

The previous prime is 3384021783641. The next prime is 3384021783803. The reversal of 3384021783744 is 4473871204833.

3384021783744 is a `hidden beast` number, since 3 + 38 + 402 + 178 + 37 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×3384021783744² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4998554734 + ... + 4998555410.

Almost surely, 2^{3384021783744} 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 3384021783744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6063984051840).

3384021783744 is an abundant number, since it is smaller than the sum of its proper divisors (8743946319936).

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

3384021783744 is a wasteful number, since it uses less digits than its factorization.

3384021783744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 3384021783744 in words is "three trillion, three hundred eighty-four billion, twenty-one million, seven hundred eighty-three thousand, seven hundred forty-four".