3677740 has 48 divisors (see below), whose sum is σ = 8578080. Its totient is φ = 1313280.

The previous prime is 3677731. The next prime is 3677743. The reversal of 3677740 is 477763.

It is a happy number.

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 = 3677696 and 3677705.

It is not an unprimeable number, because it can be changed into a prime (3677743) 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, 15946 + ... + 16174.

It is an arithmetic number, because the mean of its divisors is an integer number (178710).

Almost surely, 2^3677740 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 3677740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289040).

3677740 is an abundant number, since it is smaller than the sum of its proper divisors (4900340).

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

3677740 is a wasteful number, since it uses less digits than its factorization.

3677740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 34.

The square root of 3677740 is about 1917.7434656387. The cubic root of 3677740 is about 154.3572411508.

The spelling of 3677740 in words is "three million, six hundred seventy-seven thousand, seven hundred forty".