3407768 has 64 divisors (see below), whose sum is σ = 8171520. Its totient is φ = 1296000.

The previous prime is 3407753. The next prime is 3407771. The reversal of 3407768 is 8677043.

It is a super-2 number, since 2×3407768² = 23225765483648, which contains 22 as substring.

It is a zygodrome in base 2.

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, 22493 + ... + 22643.

It is an arithmetic number, because the mean of its divisors is an integer number (127680).

Almost surely, 2^3407768 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 3407768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4085760).

3407768 is an abundant number, since it is smaller than the sum of its proper divisors (4763752).

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

3407768 is a wasteful number, since it uses less digits than its factorization.

3407768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 3407768 is about 1846.0140844533. The cubic root of 3407768 is about 150.4838891817.

The spelling of 3407768 in words is "three million, four hundred seven thousand, seven hundred sixty-eight".