34393420 has 48 divisors (see below), whose sum is σ = 78674400. Its totient is φ = 12579840.

The previous prime is 34393409. The next prime is 34393453. The reversal of 34393420 is 2439343.

34393420 = T₄₀ + T₄₁ + ... + T₅₉₀.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9460 + ... + 12580.

It is an arithmetic number, because the mean of its divisors is an integer number (1639050).

Almost surely, 2^34393420 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 34393420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39337200).

34393420 is an abundant number, since it is smaller than the sum of its proper divisors (44280980).

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

34393420 is a wasteful number, since it uses less digits than its factorization.

34393420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 34393420 is about 5864.5903522753. The cubic root of 34393420 is about 325.2059286621.

It can be divided in two parts, 3439 and 3420, that added together give a cube (6859 = 19³).

The spelling of 34393420 in words is "thirty-four million, three hundred ninety-three thousand, four hundred twenty".