3290065827840 has 960 divisors, whose sum is σ = 13542472944000. Its totient is φ = 755573391360.

The previous prime is 3290065827803. The next prime is 3290065827947. The reversal of 3290065827840 is 487285600923.

3290065827840 is a `hidden beast` number, since 329 + 0 + 0 + 6 + 5 + 8 + 278 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 173343471 + ... + 173362449.

It is an arithmetic number, because the mean of its divisors is an integer number (14106742650).

Almost surely, 2^{3290065827840} is an apocalyptic number.

3290065827840 is a gapful number since it is divisible by the number (30) 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 3290065827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6771236472000).

3290065827840 is an abundant number, since it is smaller than the sum of its proper divisors (10252407116160).

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

3290065827840 is a wasteful number, since it uses less digits than its factorization.

3290065827840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19048 (or 19019 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 3290065827840 in words is "three trillion, two hundred ninety billion, sixty-five million, eight hundred twenty-seven thousand, eight hundred forty".