3290882378337 has 16 divisors (see below), whose sum is σ = 4880497164480. Its totient is φ = 2191619447136.

The previous prime is 3290882378327. The next prime is 3290882378347. The reversal of 3290882378337 is 7338732880923.

3290882378337 is a `hidden beast` number, since 3 + 290 + 8 + 8 + 2 + 3 + 7 + 8 + 337 = 666.

3290882378337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3290882378327) and next prime (3290882378347).

It is not a de Polignac number, because 3290882378337 - 2⁴ = 3290882378321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3290882378317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63922083 + ... + 63973544.

It is an arithmetic number, because the mean of its divisors is an integer number (305031072780).

Almost surely, 2^{3290882378337} is an apocalyptic number.

It is an amenable number.

3290882378337 is a deficient number, since it is larger than the sum of its proper divisors (1589614786143).

3290882378337 is a wasteful number, since it uses less digits than its factorization.

3290882378337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127896589 (or 127896583 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 3290882378337 in words is "three trillion, two hundred ninety billion, eight hundred eighty-two million, three hundred seventy-eight thousand, three hundred thirty-seven".