3287879189001 has 81 divisors (see below), whose sum is σ = 5459265946407. Its totient is φ = 1905219090720.

The previous prime is 3287879188999. The next prime is 3287879189053. The reversal of 3287879189001 is 1009819787823.

The square root of 3287879189001 is 1813251.

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., 747361979001 + 2540517210000 = 864501^2 + 1593900^2 .

It is not a de Polignac number, because 3287879189001 - 2¹ = 3287879188999 is a prime.

It is a super-2 number, since 2×3287879189001² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3287879189001.

It is not an unprimeable number, because it can be changed into a prime (3287879189501) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1376256315 + ... + 1376258703.

Almost surely, 2^{3287879189001} is an apocalyptic number.

3287879189001 is the 1813251-st square number.

3287879189001 is the 906626-th centered octagonal number.

It is an amenable number.

3287879189001 is a deficient number, since it is larger than the sum of its proper divisors (2171386757406).

3287879189001 is an equidigital number, since it uses as much as digits as its factorization.

3287879189001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4852 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The spelling of 3287879189001 in words is "three trillion, two hundred eighty-seven billion, eight hundred seventy-nine million, one hundred eighty-nine thousand, one".