3383181782640 has 240 divisors, whose sum is σ = 12658467234816. Its totient is φ = 802714867200.

The previous prime is 3383181782611. The next prime is 3383181782641. The reversal of 3383181782640 is 462871813833.

It is a happy number.

3383181782640 is a `hidden beast` number, since 3 + 383 + 181 + 7 + 82 + 6 + 4 + 0 = 666.

3383181782640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3383181782640² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3383181782641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4172116 + ... + 4916595.

Almost surely, 2^{3383181782640} is an apocalyptic number.

3383181782640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3383181782640 is an abundant number, since it is smaller than the sum of its proper divisors (9275285452176).

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

3383181782640 is a wasteful number, since it uses less digits than its factorization.

3383181782640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9088788 (or 9088779 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 3383181782640 in words is "three trillion, three hundred eighty-three billion, one hundred eighty-one million, seven hundred eighty-two thousand, six hundred forty".