3321142440 has 256 divisors, whose sum is σ = 13153259520. Its totient is φ = 649482240.

The previous prime is 3321142439. The next prime is 3321142463. The reversal of 3321142440 is 442411233.

3321142440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3321142440² = 22059974213538307200, which contains 22 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 3321142440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146509 + ... + 167651.

It is an arithmetic number, because the mean of its divisors is an integer number (51379920).

Almost surely, 2^3321142440 is an apocalyptic number.

3321142440 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 3321142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6576629760).

3321142440 is an abundant number, since it is smaller than the sum of its proper divisors (9832117080).

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

3321142440 is a wasteful number, since it uses less digits than its factorization.

3321142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21192 (or 21188 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3321142440 is about 57629.3539786800. The cubic root of 3321142440 is about 1491.9782800327.

Adding to 3321142440 its reverse (442411233), we get a palindrome (3763553673).

The spelling of 3321142440 in words is "three billion, three hundred twenty-one million, one hundred forty-two thousand, four hundred forty".