3727680 has 112 divisors (see below), whose sum is σ = 12947904. Its totient is φ = 901120.

The previous prime is 3727663. The next prime is 3727681. The reversal of 3727680 is 867273.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3727681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10384 + ... + 10736.

Almost surely, 2^3727680 is an apocalyptic number.

3727680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6473952).

3727680 is an abundant number, since it is smaller than the sum of its proper divisors (9220224).

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

3727680 is a wasteful number, since it uses less digits than its factorization.

3727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 3727680 is about 1930.7200729262. The cubic root of 3727680 is about 155.0527742597.

The spelling of 3727680 in words is "three million, seven hundred twenty-seven thousand, six hundred eighty".