34379020 has 48 divisors (see below), whose sum is σ = 81144000. Its totient is φ = 12139776.

The previous prime is 34379011. The next prime is 34379021. The reversal of 34379020 is 2097343.

It is a self number, because there is not a number n which added to its sum of digits gives 34379020.

It is not an unprimeable number, because it can be changed into a prime (34379021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3106 + ... + 8854.

It is an arithmetic number, because the mean of its divisors is an integer number (1690500).

Almost surely, 2^34379020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34379020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40572000).

34379020 is an abundant number, since it is smaller than the sum of its proper divisors (46764980).

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

34379020 is a wasteful number, since it uses less digits than its factorization.

34379020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5794 (or 5792 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 34379020 is about 5863.3625165088. The cubic root of 34379020 is about 325.1605360736.

The spelling of 34379020 in words is "thirty-four million, three hundred seventy-nine thousand, twenty".