34201020 has 72 divisors (see below), whose sum is σ = 111407184. Its totient is φ = 7816704.

The previous prime is 34201001. The next prime is 34201043. The reversal of 34201020 is 2010243.

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 34200987 and 34201005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2877 + ... + 8756.

It is an arithmetic number, because the mean of its divisors is an integer number (1547322).

Almost surely, 2^34201020 is an apocalyptic number.

34201020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34201020 is an abundant number, since it is smaller than the sum of its proper divisors (77206164).

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

34201020 is a wasteful number, since it uses less digits than its factorization.

34201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11659 (or 11650 counting only the distinct ones).

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

The square root of 34201020 is about 5848.1638143951. The cubic root of 34201020 is about 324.5983835943.

Adding to 34201020 its reverse (2010243), we get a palindrome (36211263).

The spelling of 34201020 in words is "thirty-four million, two hundred one thousand, twenty".