34221440 has 64 divisors (see below), whose sum is σ = 89266320. Its totient is φ = 12441600.

The previous prime is 34221431. The next prime is 34221443. The reversal of 34221440 is 4412243.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×34221440² = 2342213911347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34221443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4610 + ... + 9470.

Almost surely, 2^34221440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44633160).

34221440 is an abundant number, since it is smaller than the sum of its proper divisors (55044880).

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

34221440 is a wasteful number, since it uses less digits than its factorization.

34221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4891 (or 4879 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 34221440 is about 5849.9094010078. The cubic root of 34221440 is about 324.6629721189.

Adding to 34221440 its reverse (4412243), we get a palindrome (38633683).

The spelling of 34221440 in words is "thirty-four million, two hundred twenty-one thousand, four hundred forty".