3195897600 has 648 divisors, whose sum is σ = 12713352960. Its totient is φ = 704471040.

The previous prime is 3195897599. The next prime is 3195897629. The reversal of 3195897600 is 67985913.

3195897600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3195897600² = 20427522939371520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3195897600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40454361 + ... + 40454439.

Almost surely, 2^3195897600 is an apocalyptic number.

3195897600 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 3195897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6356676480).

3195897600 is an abundant number, since it is smaller than the sum of its proper divisors (9517455360).

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

3195897600 is a wasteful number, since it uses less digits than its factorization.

3195897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 3195897600 is about 56532.2704302596. The cubic root of 3195897600 is about 1472.9826063782.

The spelling of 3195897600 in words is "three billion, one hundred ninety-five million, eight hundred ninety-seven thousand, six hundred".