34001220 has 48 divisors (see below), whose sum is σ = 103860288. Its totient is φ = 8242560.

The previous prime is 34001183. The next prime is 34001239. The reversal of 34001220 is 2210043.

It is a super-3 number, since 3×34001220³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 34001196 and 34001205.

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, 25099 + ... + 26418.

It is an arithmetic number, because the mean of its divisors is an integer number (2163756).

Almost surely, 2^34001220 is an apocalyptic number.

34001220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34001220 is an abundant number, since it is smaller than the sum of its proper divisors (69859068).

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

34001220 is a wasteful number, since it uses less digits than its factorization.

34001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51540 (or 51538 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 34001220 is about 5831.0565080438. The cubic root of 34001220 is about 323.9650549112.

Adding to 34001220 its reverse (2210043), we get a palindrome (36211263).

The spelling of 34001220 in words is "thirty-four million, one thousand, two hundred twenty".