3375768 has 64 divisors (see below), whose sum is σ = 9705600. Its totient is φ = 967680.

The previous prime is 3375767. The next prime is 3375781. The reversal of 3375768 is 8675733.

It is a super-2 number, since 2×3375768² = 22791619179648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3375767) 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, 4680 + ... + 5352.

It is an arithmetic number, because the mean of its divisors is an integer number (151650).

Almost surely, 2^3375768 is an apocalyptic number.

3375768 is a gapful number since it is divisible by the number (38) 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 3375768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4852800).

3375768 is an abundant number, since it is smaller than the sum of its proper divisors (6329832).

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

3375768 is a wasteful number, since it uses less digits than its factorization.

3375768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 708 counting only the distinct ones).

The product of its digits is 105840, while the sum is 39.

The square root of 3375768 is about 1837.3263183224. The cubic root of 3375768 is about 150.0113769149.

It can be divided in two parts, 337 and 5768, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 3375768 in words is "three million, three hundred seventy-five thousand, seven hundred sixty-eight".