3283781969664 has 396 divisors, whose sum is σ = 11236990082416. Its totient is φ = 938193186816.

The previous prime is 3283781969647. The next prime is 3283781969681. The reversal of 3283781969664 is 4669691873823.

3283781969664 is a `hidden beast` number, since 3 + 2 + 8 + 378 + 196 + 9 + 6 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (3283781969647) and next prime (3283781969681).

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 3283781969592 and 3283781969601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 105800292 + ... + 105831324.

Almost surely, 2^{3283781969664} 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 3283781969664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5618495041208).

3283781969664 is an abundant number, since it is smaller than the sum of its proper divisors (7953208112752).

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

3283781969664 is an frugal number, since it uses more digits than its factorization.

3283781969664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31086 (or 31045 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 3283781969664 in words is "three trillion, two hundred eighty-three billion, seven hundred eighty-one million, nine hundred sixty-nine thousand, six hundred sixty-four".