3395311461332 has 192 divisors, whose sum is σ = 7526689013760. Its totient is φ = 1307560060800.

The previous prime is 3395311461331. The next prime is 3395311461341. The reversal of 3395311461332 is 2331641135933.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3395311461331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173832407 + ... + 173851937.

It is an arithmetic number, because the mean of its divisors is an integer number (39201505280).

Almost surely, 2^{3395311461332} 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 3395311461332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763344506880).

3395311461332 is an abundant number, since it is smaller than the sum of its proper divisors (4131377552428).

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

3395311461332 is a wasteful number, since it uses less digits than its factorization.

3395311461332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19802 (or 19800 counting only the distinct ones).

The product of its digits is 524880, while the sum is 44.

The spelling of 3395311461332 in words is "three trillion, three hundred ninety-five billion, three hundred eleven million, four hundred sixty-one thousand, three hundred thirty-two".