3657940 has 48 divisors (see below), whose sum is σ = 9031680. Its totient is φ = 1226880.

The previous prime is 3657919. The next prime is 3657949. The reversal of 3657940 is 497563.

3657940 = T₁₆ + T₁₇ + ... + T₂₇₉.

3657940 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3657940³ (a number of 21 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3657896 and 3657905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3657949) 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, 2221 + ... + 3499.

It is an arithmetic number, because the mean of its divisors is an integer number (188160).

Almost surely, 2^3657940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3657940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515840).

3657940 is an abundant number, since it is smaller than the sum of its proper divisors (5373740).

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

3657940 is a wasteful number, since it uses less digits than its factorization.

3657940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 3657940 is about 1912.5741815679. The cubic root of 3657940 is about 154.0797360737.

The spelling of 3657940 in words is "three million, six hundred fifty-seven thousand, nine hundred forty".