3422412240 has 240 divisors, whose sum is σ = 12095743680. Its totient is φ = 797921280.

The previous prime is 3422412223. The next prime is 3422412241. The reversal of 3422412240 is 422142243.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×3422412240³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3422412240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3422412241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 768420 + ... + 772860.

It is an arithmetic number, because the mean of its divisors is an integer number (50398932).

Almost surely, 2^3422412240 is an apocalyptic number.

3422412240 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 3422412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6047871840).

3422412240 is an abundant number, since it is smaller than the sum of its proper divisors (8673331440).

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

3422412240 is a wasteful number, since it uses less digits than its factorization.

3422412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4502 (or 4483 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3422412240 is about 58501.3866502325. The cubic root of 3422412240 is about 1506.9913984926.

Adding to 3422412240 its reverse (422142243), we get a palindrome (3844554483).

It can be divided in two parts, 34224 and 12240, that added together give a palindrome (46464).

The spelling of 3422412240 in words is "three billion, four hundred twenty-two million, four hundred twelve thousand, two hundred forty".