3213011340 has 768 divisors, whose sum is σ = 13547520000. Its totient is φ = 624879360.

The previous prime is 3213011323. The next prime is 3213011341. The reversal of 3213011340 is 431103123.

3213011340 is a `hidden beast` number, since 3 + 21 + 301 + 1 + 340 = 666.

3213011340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3213011341) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 38710939 + ... + 38711021.

It is an arithmetic number, because the mean of its divisors is an integer number (17640000).

Almost surely, 2^3213011340 is an apocalyptic number.

3213011340 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 3213011340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773760000).

3213011340 is an abundant number, since it is smaller than the sum of its proper divisors (10334508660).

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

3213011340 is a wasteful number, since it uses less digits than its factorization.

3213011340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3213011340 is about 56683.4309123927. The cubic root of 3213011340 is about 1475.6071563420.

Adding to 3213011340 its reverse (431103123), we get a palindrome (3644114463).

The spelling of 3213011340 in words is "three billion, two hundred thirteen million, eleven thousand, three hundred forty".