3377680 has 20 divisors (see below), whose sum is σ = 7853292. Its totient is φ = 1351040.

The previous prime is 3377657. The next prime is 3377701. The reversal of 3377680 is 867733.

It can be written as a sum of positive squares in 2 ways, for example, as 2509056 + 868624 = 1584^2 + 932^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×3377680² = 22817444364800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21031 + ... + 21190.

Almost surely, 2^3377680 is an apocalyptic number.

It is an amenable number.

3377680 is an abundant number, since it is smaller than the sum of its proper divisors (4475612).

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

3377680 is a wasteful number, since it uses less digits than its factorization.

3377680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42234 (or 42228 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 3377680 is about 1837.8465659570. The cubic root of 3377680 is about 150.0396931991.

It can be divided in two parts, 33776 and 80, that added together give a square (33856 = 184²).

The spelling of 3377680 in words is "three million, three hundred seventy-seven thousand, six hundred eighty".