3677340 has 48 divisors (see below), whose sum is σ = 10386432. Its totient is φ = 972096.

The previous prime is 3677339. The next prime is 3677341. The reversal of 3677340 is 437763.

It is an interprime number because it is at equal distance from previous prime (3677339) and next prime (3677341).

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 = 3677298 and 3677307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3677341) 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, 9837 + ... + 10203.

It is an arithmetic number, because the mean of its divisors is an integer number (216384).

Almost surely, 2^3677340 is an apocalyptic number.

3677340 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 3677340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5193216).

3677340 is an abundant number, since it is smaller than the sum of its proper divisors (6709092).

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

3677340 is a wasteful number, since it uses less digits than its factorization.

3677340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The square root of 3677340 is about 1917.6391735673. The cubic root of 3677340 is about 154.3516448575.

The spelling of 3677340 in words is "three million, six hundred seventy-seven thousand, three hundred forty".