34402020 has 96 divisors (see below), whose sum is σ = 101945088. Its totient is φ = 8650752.

The previous prime is 34402013. The next prime is 34402037. The reversal of 34402020 is 2020443.

It is a happy number.

34402020 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 (15).

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 31 ways as a sum of consecutive naturals, for example, 133732 + ... + 133988.

It is an arithmetic number, because the mean of its divisors is an integer number (1061928).

Almost surely, 2^34402020 is an apocalyptic number.

34402020 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 34402020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50972544).

34402020 is an abundant number, since it is smaller than the sum of its proper divisors (67543068).

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

34402020 is a wasteful number, since it uses less digits than its factorization.

34402020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 34402020 is about 5865.3235204889. The cubic root of 34402020 is about 325.2330320820.

Adding to 34402020 its reverse (2020443), we get a palindrome (36422463).

It can be divided in two parts, 3440 and 2020, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 34402020 in words is "thirty-four million, four hundred two thousand, twenty".