34432020 has 96 divisors (see below), whose sum is σ = 122438400. Its totient is φ = 7869312.

The previous prime is 34432001. The next prime is 34432031. The reversal of 34432020 is 2023443.

34432020 is a `hidden beast` number, since 344 + 320 + 2 + 0 = 666.

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 = 34431984 and 34432002.

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, 775 + ... + 8334.

It is an arithmetic number, because the mean of its divisors is an integer number (1275400).

Almost surely, 2^34432020 is an apocalyptic number.

34432020 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 34432020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61219200).

34432020 is an abundant number, since it is smaller than the sum of its proper divisors (88006380).

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

34432020 is a wasteful number, since it uses less digits than its factorization.

34432020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9134 (or 9126 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 34432020 is about 5867.8803668787. The cubic root of 34432020 is about 325.3275435494.

Adding to 34432020 its reverse (2023443), we get a palindrome (36455463).

The spelling of 34432020 in words is "thirty-four million, four hundred thirty-two thousand, twenty".