3399680 has 56 divisors (see below), whose sum is σ = 8257032. Its totient is φ = 1343488.

The previous prime is 3399673. The next prime is 3399707. The reversal of 3399680 is 869933.

It is a happy number.

It is a super-3 number, since 3×3399680³ (a number of 21 digits) contains 333 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40919 + ... + 41001.

It is an arithmetic number, because the mean of its divisors is an integer number (147447).

Almost surely, 2^3399680 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 3399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128516).

3399680 is an abundant number, since it is smaller than the sum of its proper divisors (4857352).

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

3399680 is an frugal number, since it uses more digits than its factorization.

3399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 38.

The square root of 3399680 is about 1843.8221172337. The cubic root of 3399680 is about 150.3647419992.

The spelling of 3399680 in words is "three million, three hundred ninety-nine thousand, six hundred eighty".