3211140240 has 640 divisors, whose sum is σ = 14141952000. Its totient is φ = 650280960.

The previous prime is 3211140221. The next prime is 3211140293. The reversal of 3211140240 is 420411123.

3211140240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3211140240² = 20622843281894515200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7151536 + ... + 7151984.

It is an arithmetic number, because the mean of its divisors is an integer number (22096800).

Almost surely, 2^3211140240 is an apocalyptic number.

3211140240 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 3211140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7070976000).

3211140240 is an abundant number, since it is smaller than the sum of its proper divisors (10930811760).

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

3211140240 is a wasteful number, since it uses less digits than its factorization.

3211140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3211140240 is about 56666.9236856916. The cubic root of 3211140240 is about 1475.3206603428.

Adding to 3211140240 its reverse (420411123), we get a palindrome (3631551363).

The spelling of 3211140240 in words is "three billion, two hundred eleven million, one hundred forty thousand, two hundred forty".