3328595631140 has 192 divisors, whose sum is σ = 7891485267456. Its totient is φ = 1170143428608.

The previous prime is 3328595631083. The next prime is 3328595631149. The reversal of 3328595631140 is 411365958233.

It is a happy number.

3328595631140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3328595631140² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3328595631149) 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, 1597980539 + ... + 1597982621.

It is an arithmetic number, because the mean of its divisors is an integer number (41101485768).

Almost surely, 2^{3328595631140} 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 3328595631140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945742633728).

3328595631140 is an abundant number, since it is smaller than the sum of its proper divisors (4562889636316).

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

3328595631140 is a wasteful number, since it uses less digits than its factorization.

3328595631140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 50.

The spelling of 3328595631140 in words is "three trillion, three hundred twenty-eight billion, five hundred ninety-five million, six hundred thirty-one thousand, one hundred forty".