3334080 has 112 divisors (see below), whose sum is σ = 11119104. Its totient is φ = 844800.

The previous prime is 3334049. The next prime is 3334087. The reversal of 3334080 is 804333.

3334080 = T₁₈₁ + T₁₈₂ + ... + T₂₉₅.

It is a super-2 number, since 2×3334080² = 22232178892800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3334087) 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, 22005 + ... + 22155.

Almost surely, 2^3334080 is an apocalyptic number.

3334080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559552).

3334080 is an abundant number, since it is smaller than the sum of its proper divisors (7785024).

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

3334080 is a wasteful number, since it uses less digits than its factorization.

3334080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3334080 is about 1825.9463299889. The cubic root of 3334080 is about 149.3913111043.

The spelling of 3334080 in words is "three million, three hundred thirty-four thousand, eighty".