3691680 has 48 divisors (see below), whose sum is σ = 11630304. Its totient is φ = 984320.

The previous prime is 3691673. The next prime is 3691687. The reversal of 3691680 is 861963.

It is an interprime number because it is at equal distance from previous prime (3691673) and next prime (3691687).

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3691687) 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, 3366 + ... + 4325.

It is an arithmetic number, because the mean of its divisors is an integer number (242298).

Almost surely, 2^3691680 is an apocalyptic number.

3691680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3691680 is an abundant number, since it is smaller than the sum of its proper divisors (7938624).

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

3691680 is a wasteful number, since it uses less digits than its factorization.

3691680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7709 (or 7701 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 3691680 is about 1921.3745080020. The cubic root of 3691680 is about 154.5520190144.

It can be divided in two parts, 3691 and 680, that added together give a triangular number (4371 = T₉₃).

The spelling of 3691680 in words is "three million, six hundred ninety-one thousand, six hundred eighty".