3377968 has 40 divisors (see below), whose sum is σ = 7566480. Its totient is φ = 1443840.

The previous prime is 3377963. The next prime is 3377981. The reversal of 3377968 is 8697733.

It is a super-2 number, since 2×3377968² = 22821335618048, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3377963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2428 + ... + 3556.

It is an arithmetic number, because the mean of its divisors is an integer number (189162).

Almost surely, 2^3377968 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 3377968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783240).

3377968 is an abundant number, since it is smaller than the sum of its proper divisors (4188512).

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

3377968 is a wasteful number, since it uses less digits than its factorization.

3377968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1159 counting only the distinct ones).

The product of its digits is 190512, while the sum is 43.

The square root of 3377968 is about 1837.9249168560. The cubic root of 3377968 is about 150.0439574874.

The spelling of 3377968 in words is "three million, three hundred seventy-seven thousand, nine hundred sixty-eight".