34531020 has 72 divisors (see below), whose sum is σ = 107321760. Its totient is φ = 8981760.

The previous prime is 34531019. The next prime is 34531031. The reversal of 34531020 is 2013543.

34531020 = T₄₅₄ + T₄₅₅ + ... + T₆₆₉.

34531020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34530984 and 34531002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5041 + ... + 9719.

It is an arithmetic number, because the mean of its divisors is an integer number (1490580).

Almost surely, 2^34531020 is an apocalyptic number.

34531020 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 34531020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53660880).

34531020 is an abundant number, since it is smaller than the sum of its proper divisors (72790740).

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

34531020 is a wasteful number, since it uses less digits than its factorization.

34531020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4735 (or 4730 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 34531020 is about 5876.3100667000. The cubic root of 34531020 is about 325.6390424400.

Adding to 34531020 its reverse (2013543), we get a palindrome (36544563).

The spelling of 34531020 in words is "thirty-four million, five hundred thirty-one thousand, twenty".