3834320 has 80 divisors (see below), whose sum is σ = 10499328. Its totient is φ = 1274880.

The previous prime is 3834301. The next prime is 3834377. The reversal of 3834320 is 234383.

3834320 = T₁₃₄ + T₁₃₅ + ... + T₂₉₃.

It is a tau number, because it is divible by the number of its divisors (80).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22877 + ... + 23043.

Almost surely, 2^3834320 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 3834320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249664).

3834320 is an abundant number, since it is smaller than the sum of its proper divisors (6665008).

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

3834320 is a wasteful number, since it uses less digits than its factorization.

3834320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 3834320 is about 1958.1419764665. The cubic root of 3834320 is about 156.5174576571.

The spelling of 3834320 in words is "three million, eight hundred thirty-four thousand, three hundred twenty".