3213132240 has 160 divisors (see below), whose sum is σ = 10168634880. Its totient is φ = 839135232.

The previous prime is 3213132191. The next prime is 3213132253. The reversal of 3213132240 is 422313123.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2596902 + ... + 2598138.

It is an arithmetic number, because the mean of its divisors is an integer number (63553968).

Almost surely, 2^3213132240 is an apocalyptic number.

3213132240 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 3213132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5084317440).

3213132240 is an abundant number, since it is smaller than the sum of its proper divisors (6955502640).

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

3213132240 is a wasteful number, since it uses less digits than its factorization.

3213132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3213132240 is about 56684.4973515687. The cubic root of 3213132240 is about 1475.6256642824.

Adding to 3213132240 its reverse (422313123), we get a palindrome (3635445363).

The spelling of 3213132240 in words is "three billion, two hundred thirteen million, one hundred thirty-two thousand, two hundred forty".