3221145414 has 64 divisors (see below), whose sum is σ = 7603761600. Its totient is φ = 1007276544.

The previous prime is 3221145359. The next prime is 3221145451. The reversal of 3221145414 is 4145411223.

3221145414 is a `hidden beast` number, since 3 + 2 + 2 + 114 + 541 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285472 + ... + 296540.

It is an arithmetic number, because the mean of its divisors is an integer number (118808775).

Almost surely, 2^3221145414 is an apocalyptic number.

3221145414 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3221145414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801880800).

3221145414 is an abundant number, since it is smaller than the sum of its proper divisors (4382616186).

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

3221145414 is a wasteful number, since it uses less digits than its factorization.

3221145414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11414 (or 11408 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 3221145414 is about 56755.1355737963. The cubic root of 3221145414 is about 1476.8513249284.

Adding to 3221145414 its reverse (4145411223), we get a palindrome (7366556637).

The spelling of 3221145414 in words is "three billion, two hundred twenty-one million, one hundred forty-five thousand, four hundred fourteen".