3193396531416 has 1440 divisors, whose sum is σ = 11825850009600. Its totient is φ = 804729219840.

The previous prime is 3193396531343. The next prime is 3193396531433. The reversal of 3193396531416 is 6141356933913.

3193396531416 is a `hidden beast` number, since 3 + 1 + 9 + 3 + 3 + 96 + 531 + 4 + 16 = 666.

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

Its product of digits (4723920) is a multiple of the sum of its prime divisors (135).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 40422740865 + ... + 40422740943.

It is an arithmetic number, because the mean of its divisors is an integer number (8212395840).

Almost surely, 2^{3193396531416} is an apocalyptic number.

3193396531416 is a gapful number since it is divisible by the number (36) 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 3193396531416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5912925004800).

3193396531416 is an abundant number, since it is smaller than the sum of its proper divisors (8632453478184).

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

3193396531416 is an equidigital number, since it uses as much as digits as its factorization.

3193396531416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 135 counting only the distinct ones).

The product of its digits is 4723920, while the sum is 54.

The spelling of 3193396531416 in words is "three trillion, one hundred ninety-three billion, three hundred ninety-six million, five hundred thirty-one thousand, four hundred sixteen".