3433680 has 120 divisors (see below), whose sum is σ = 12186720. Its totient is φ = 864000.

The previous prime is 3433673. The next prime is 3433691. The reversal of 3433680 is 863343.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13555 + ... + 13805.

It is an arithmetic number, because the mean of its divisors is an integer number (101556).

Almost surely, 2^3433680 is an apocalyptic number.

3433680 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 3433680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093360).

3433680 is an abundant number, since it is smaller than the sum of its proper divisors (8753040).

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

3433680 is a wasteful number, since it uses less digits than its factorization.

3433680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3433680 is about 1853.0191580229. The cubic root of 3433680 is about 150.8643431727.

The spelling of 3433680 in words is "three million, four hundred thirty-three thousand, six hundred eighty".