3211140000 has 240 divisors, whose sum is σ = 10651465440. Its totient is φ = 846720000.

The previous prime is 3211139993. The next prime is 3211140001. The reversal of 3211140000 is 411123.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3211140000² = 20622840199200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3211140001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6539755 + ... + 6540245.

It is an arithmetic number, because the mean of its divisors is an integer number (44381106).

Almost surely, 2^3211140000 is an apocalyptic number.

3211140000 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 3211140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5325732720).

3211140000 is an abundant number, since it is smaller than the sum of its proper divisors (7440325440).

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

3211140000 is a wasteful number, since it uses less digits than its factorization.

3211140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3211140000 is about 56666.9215680541. The cubic root of 3211140000 is about 1475.3206235878.

Adding to 3211140000 its reverse (411123), we get a palindrome (3211551123).

The spelling of 3211140000 in words is "three billion, two hundred eleven million, one hundred forty thousand".