3420042320 has 40 divisors (see below), whose sum is σ = 8419342824. Its totient is φ = 1287544832.

The previous prime is 3420042299. The next prime is 3420042331. The reversal of 3420042320 is 232400243.

3420042320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 791634496 + 2628407824 = 28136^2 + 51268^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3420042292 and 3420042301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1256009 + ... + 1258728.

Almost surely, 2^3420042320 is an apocalyptic number.

It is an amenable number.

3420042320 is an abundant number, since it is smaller than the sum of its proper divisors (4999300504).

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

3420042320 is a wasteful number, since it uses less digits than its factorization.

3420042320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514767 (or 2514761 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3420042320 is about 58481.1278961000. The cubic root of 3420042320 is about 1506.6434690697.

Adding to 3420042320 its reverse (232400243), we get a palindrome (3652442563).

The spelling of 3420042320 in words is "three billion, four hundred twenty million, forty-two thousand, three hundred twenty".