34097220 has 96 divisors (see below), whose sum is σ = 106928640. Its totient is φ = 9020160.

The previous prime is 34097213. The next prime is 34097233. The reversal of 34097220 is 2279043.

34097220 = T₃₆₀ + T₃₆₁ + ... + T₆₃₀.

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, 125685 + ... + 125955.

It is an arithmetic number, because the mean of its divisors is an integer number (1113840).

Almost surely, 2^34097220 is an apocalyptic number.

34097220 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 34097220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53464320).

34097220 is an abundant number, since it is smaller than the sum of its proper divisors (72831420).

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

34097220 is a wasteful number, since it uses less digits than its factorization.

34097220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 34097220 is about 5839.2824901695. The cubic root of 34097220 is about 324.2696657551.

The spelling of 34097220 in words is "thirty-four million, ninety-seven thousand, two hundred twenty".