3220430040 has 384 divisors, whose sum is σ = 11303884800. Its totient is φ = 793774080.

The previous prime is 3220430029. The next prime is 3220430047. The reversal of 3220430040 is 400340223.

3220430040 is a `hidden beast` number, since 322 + 0 + 4 + 300 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3220429995 and 3220430022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3220430047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44115444 + ... + 44115516.

It is an arithmetic number, because the mean of its divisors is an integer number (29437200).

Almost surely, 2^3220430040 is an apocalyptic number.

3220430040 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 3220430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5651942400).

3220430040 is an abundant number, since it is smaller than the sum of its proper divisors (8083454760).

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

3220430040 is a wasteful number, since it uses less digits than its factorization.

3220430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3220430040 is about 56748.8329395416. The cubic root of 3220430040 is about 1476.7419870868.

Adding to 3220430040 its reverse (400340223), we get a palindrome (3620770263).

The spelling of 3220430040 in words is "three billion, two hundred twenty million, four hundred thirty thousand, forty".