3290826214338 has 128 divisors (see below), whose sum is σ = 7561319673600. Its totient is φ = 946415923200.

The previous prime is 3290826214331. The next prime is 3290826214343. The reversal of 3290826214338 is 8334126280923.

It is a happy number.

3290826214338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3290826214331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60777918 + ... + 60832038.

It is an arithmetic number, because the mean of its divisors is an integer number (59072809950).

Almost surely, 2^{3290826214338} is an apocalyptic number.

3290826214338 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3290826214338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780659836800).

3290826214338 is an abundant number, since it is smaller than the sum of its proper divisors (4270493459262).

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

3290826214338 is a wasteful number, since it uses less digits than its factorization.

3290826214338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54708.

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 3290826214338 in words is "three trillion, two hundred ninety billion, eight hundred twenty-six million, two hundred fourteen thousand, three hundred thirty-eight".