3196872480400 has 45 divisors (see below), whose sum is σ = 7680572047561. Its totient is φ = 1278734688320.

The previous prime is 3196872480377. The next prime is 3196872480401. The reversal of 3196872480400 is 40842786913.

The square root of 3196872480400 is 1787980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1150874092944 + 2045998387456 = 1072788^2 + 1430384^2 .

It is a super-3 number, since 3×3196872480400³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3196872480401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35714901 + ... + 35804299.

Almost surely, 2^{3196872480400} is an apocalyptic number.

3196872480400 is the 1787980-th square number.

It is an amenable number.

3196872480400 is an abundant number, since it is smaller than the sum of its proper divisors (4483699567161).

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

3196872480400 is an frugal number, since it uses more digits than its factorization.

3196872480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178816 (or 89406 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 3196872480400 in words is "three trillion, one hundred ninety-six billion, eight hundred seventy-two million, four hundred eighty thousand, four hundred".