34211320 has 64 divisors (see below), whose sum is σ = 90447840. Its totient is φ = 11481600.

The previous prime is 34211299. The next prime is 34211351. The reversal of 34211320 is 2311243.

34211320 = T₁₃₀₅ + T₁₃₀₆ + ... + T₁₃₄₃.

It is a happy number.

It is a super-2 number, since 2×34211320² = 2340828832284800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34211294 and 34211303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2730 + ... + 8710.

Almost surely, 2^34211320 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 34211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45223920).

34211320 is an abundant number, since it is smaller than the sum of its proper divisors (56236520).

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

34211320 is a wasteful number, since it uses less digits than its factorization.

34211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6016 (or 6012 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 34211320 is about 5849.0443663901. The cubic root of 34211320 is about 324.6309657393.

Adding to 34211320 its reverse (2311243), we get a palindrome (36522563).

The spelling of 34211320 in words is "thirty-four million, two hundred eleven thousand, three hundred twenty".