3427163587600 has 135 divisors (see below), whose sum is σ = 8302193358039. Its totient is φ = 1359565344000.

The previous prime is 3427163587543. The next prime is 3427163587607. The reversal of 3427163587600 is 67853617243.

The square root of 3427163587600 is 1851260.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2002711789584 + 1424451798016 = 1415172^2 + 1193504^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3427163587607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5590804894 + ... + 5590805506.

Almost surely, 2^{3427163587600} is an apocalyptic number.

3427163587600 is the 1851260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3427163587600

3427163587600 is an abundant number, since it is smaller than the sum of its proper divisors (4875029770439).

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

3427163587600 is an frugal number, since it uses more digits than its factorization.

3427163587600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 52.

The spelling of 3427163587600 in words is "three trillion, four hundred twenty-seven billion, one hundred sixty-three million, five hundred eighty-seven thousand, six hundred".