3120213440 has 224 divisors, whose sum is σ = 8163763200. Its totient is φ = 1131909120.

The previous prime is 3120213431. The next prime is 3120213449. The reversal of 3120213440 is 443120213.

It is an interprime number because it is at equal distance from previous prime (3120213431) and next prime (3120213449).

It is a super-2 number, since 2×3120213440² = 19471463822313267200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3120213449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17431271 + ... + 17431449.

Almost surely, 2^3120213440 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 3120213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081881600).

3120213440 is an abundant number, since it is smaller than the sum of its proper divisors (5043549760).

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

3120213440 is a wasteful number, since it uses less digits than its factorization.

3120213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3120213440 is about 55858.8707368848. The cubic root of 3120213440 is about 1461.2620350631.

Adding to 3120213440 its reverse (443120213), we get a palindrome (3563333653).

The spelling of 3120213440 in words is "three billion, one hundred twenty million, two hundred thirteen thousand, four hundred forty".