3801680 has 20 divisors (see below), whose sum is σ = 8839092. Its totient is φ = 1520640.

The previous prime is 3801671. The next prime is 3801709. The reversal of 3801680 is 861083.

It can be written as a sum of positive squares in 2 ways, for example, as 2483776 + 1317904 = 1576^2 + 1148^2 .

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

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

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, 23681 + ... + 23840.

Almost surely, 2^3801680 is an apocalyptic number.

It is an amenable number.

3801680 is an abundant number, since it is smaller than the sum of its proper divisors (5037412).

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

3801680 is a wasteful number, since it uses less digits than its factorization.

3801680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47534 (or 47528 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 3801680 is about 1949.7897322532. The cubic root of 3801680 is about 156.0720683884.

The spelling of 3801680 in words is "three million, eight hundred one thousand, six hundred eighty".