3197428416 has 168 divisors, whose sum is σ = 11280001824. Its totient is φ = 843264000.

The previous prime is 3197428343. The next prime is 3197428417. The reversal of 3197428416 is 6148247913.

3197428416 is a `hidden beast` number, since 3 + 197 + 42 + 8 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3197428417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21916 + ... + 82916.

It is an arithmetic number, because the mean of its divisors is an integer number (67142868).

Almost surely, 2^3197428416 is an apocalyptic number.

3197428416 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 3197428416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640000912).

3197428416 is an abundant number, since it is smaller than the sum of its proper divisors (8082573408).

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

3197428416 is a wasteful number, since it uses less digits than its factorization.

3197428416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61039 (or 61026 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 3197428416 is about 56545.8081204964. The cubic root of 3197428416 is about 1473.2177521491.

The spelling of 3197428416 in words is "three billion, one hundred ninety-seven million, four hundred twenty-eight thousand, four hundred sixteen".