3357920 has 48 divisors (see below), whose sum is σ = 8201088. Its totient is φ = 1297920.

The previous prime is 3357901. The next prime is 3357929. The reversal of 3357920 is 297533.

3357920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3357920² = 22551253452800, which contains 22 as substring.

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3357929) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4622 + ... + 5298.

It is an arithmetic number, because the mean of its divisors is an integer number (170856).

Almost surely, 2^3357920 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 3357920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100544).

3357920 is an abundant number, since it is smaller than the sum of its proper divisors (4843168).

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

3357920 is a wasteful number, since it uses less digits than its factorization.

3357920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 29.

The square root of 3357920 is about 1832.4628236338. The cubic root of 3357920 is about 149.7465349072.

The spelling of 3357920 in words is "three million, three hundred fifty-seven thousand, nine hundred twenty".