3681840 has 120 divisors (see below), whose sum is σ = 12342960. Its totient is φ = 906752.

The previous prime is 3681827. The next prime is 3681871. The reversal of 3681840 is 481863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3681798 and 3681807.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126946 + ... + 126974.

It is an arithmetic number, because the mean of its divisors is an integer number (102858).

Almost surely, 2^3681840 is an apocalyptic number.

3681840 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 3681840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6171480).

3681840 is an abundant number, since it is smaller than the sum of its proper divisors (8661120).

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

3681840 is a wasteful number, since it uses less digits than its factorization.

3681840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 3681840 is about 1918.8121325445. The cubic root of 3681840 is about 154.4145797753.

The spelling of 3681840 in words is "three million, six hundred eighty-one thousand, eight hundred forty".