3512221440 has 864 divisors, whose sum is σ = 15191662080. Its totient is φ = 671514624.

The previous prime is 3512221439. The next prime is 3512221441. The reversal of 3512221440 is 441222153.

It is an interprime number because it is at equal distance from previous prime (3512221439) and next prime (3512221441).

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 3512221440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3512221441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152705269 + ... + 152705291.

Almost surely, 2^3512221440 is an apocalyptic number.

3512221440 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 3512221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7595831040).

3512221440 is an abundant number, since it is smaller than the sum of its proper divisors (11679440640).

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

3512221440 is a wasteful number, since it uses less digits than its factorization.

3512221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3512221440 is about 59263.9978401727. The cubic root of 3512221440 is about 1520.0596467822.

Adding to 3512221440 its reverse (441222153), we get a palindrome (3953443593).

The spelling of 3512221440 in words is "three billion, five hundred twelve million, two hundred twenty-one thousand, four hundred forty".