3197952000 has 336 divisors, whose sum is σ = 11562203952. Its totient is φ = 850329600.

The previous prime is 3197951963. The next prime is 3197952007. The reversal of 3197952000 is 2597913.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3197952007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9215827 + ... + 9216173.

Almost surely, 2^3197952000 is an apocalyptic number.

3197952000 is a gapful number since it is divisible by the number (30) 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 3197952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5781101976).

3197952000 is an abundant number, since it is smaller than the sum of its proper divisors (8364251952).

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

3197952000 is an equidigital number, since it uses as much as digits as its factorization.

3197952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 3197952000 is about 56550.4376640889. The cubic root of 3197952000 is about 1473.2981616787.

The spelling of 3197952000 in words is "three billion, one hundred ninety-seven million, nine hundred fifty-two thousand".