3262016000 has 80 divisors (see below), whose sum is σ = 8134200360. Its totient is φ = 1304780800.

The previous prime is 3262015973. The next prime is 3262016003. The reversal of 3262016000 is 6102623.

It can be written as a sum of positive squares in 4 ways, for example, as 445378816 + 2816637184 = 21104^2 + 53072^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3262016003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38516 + ... + 89484.

Almost surely, 2^3262016000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3262016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4067100180).

3262016000 is an abundant number, since it is smaller than the sum of its proper divisors (4872184360).

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

3262016000 is an frugal number, since it uses more digits than its factorization.

3262016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51002 (or 50976 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 3262016000 is about 57114.0613159316. The cubic root of 3262016000 is about 1483.0712943116.

Adding to 3262016000 its reverse (6102623), we get a palindrome (3268118623).

The spelling of 3262016000 in words is "three billion, two hundred sixty-two million, sixteen thousand".