3197400960 has 256 divisors, whose sum is σ = 11187408960. Its totient is φ = 771883008.

The previous prime is 3197400911. The next prime is 3197400979. The reversal of 3197400960 is 690047913.

3197400960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1321672 + ... + 1324088.

Almost surely, 2^3197400960 is an apocalyptic number.

3197400960 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 3197400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5593704480).

3197400960 is an abundant number, since it is smaller than the sum of its proper divisors (7990008000).

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

3197400960 is a wasteful number, since it uses less digits than its factorization.

3197400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 3197400960 is about 56545.5653433583. The cubic root of 3197400960 is about 1473.2135353456.

The spelling of 3197400960 in words is "three billion, one hundred ninety-seven million, four hundred thousand, nine hundred sixty".