34397220 has 192 divisors, whose sum is σ = 119669760. Its totient is φ = 7257600.

The previous prime is 34397203. The next prime is 34397221. The reversal of 34397220 is 2279343.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (34397221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162915 + ... + 163125.

It is an arithmetic number, because the mean of its divisors is an integer number (623280).

Almost surely, 2^34397220 is an apocalyptic number.

34397220 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 34397220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59834880).

34397220 is an abundant number, since it is smaller than the sum of its proper divisors (85272540).

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

34397220 is a wasteful number, since it uses less digits than its factorization.

34397220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 34397220 is about 5864.9143216248. The cubic root of 34397220 is about 325.2179051489.

The spelling of 34397220 in words is "thirty-four million, three hundred ninety-seven thousand, two hundred twenty".