3901680 has 60 divisors (see below), whose sum is σ = 13105560. Its totient is φ = 1040256.

The previous prime is 3901679. The next prime is 3901693. The reversal of 3901680 is 861093.

3901680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1990 + ... + 3429.

It is an arithmetic number, because the mean of its divisors is an integer number (218426).

Almost surely, 2^3901680 is an apocalyptic number.

3901680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3901680 is an abundant number, since it is smaller than the sum of its proper divisors (9203880).

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

3901680 is a wasteful number, since it uses less digits than its factorization.

3901680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5438 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3901680 is about 1975.2670705502. The cubic root of 3901680 is about 157.4286903189.

The spelling of 3901680 in words is "three million, nine hundred one thousand, six hundred eighty".