3662940 has 48 divisors (see below), whose sum is σ = 10513440. Its totient is φ = 952320.

The previous prime is 3662933. The next prime is 3662941. The reversal of 3662940 is 492663.

3662940 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3662898 and 3662907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3662941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1716 + ... + 3204.

It is an arithmetic number, because the mean of its divisors is an integer number (219030).

Almost surely, 2^3662940 is an apocalyptic number.

3662940 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 3662940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256720).

3662940 is an abundant number, since it is smaller than the sum of its proper divisors (6850500).

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

3662940 is a wasteful number, since it uses less digits than its factorization.

3662940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3662940 is about 1913.8808740358. The cubic root of 3662940 is about 154.1499074388.

The spelling of 3662940 in words is "three million, six hundred sixty-two thousand, nine hundred forty".