3687740 has 72 divisors (see below), whose sum is σ = 9307872. Its totient is φ = 1223040.

The previous prime is 3687737. The next prime is 3687743. The reversal of 3687740 is 477863.

3687740 = T₂₀₉ + T₂₁₀ + ... + T₃₁₄.

It is an interprime number because it is at equal distance from previous prime (3687737) and next prime (3687743).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3687740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3687743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51905 + ... + 51975.

It is an arithmetic number, because the mean of its divisors is an integer number (129276).

Almost surely, 2^3687740 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 3687740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4653936).

3687740 is an abundant number, since it is smaller than the sum of its proper divisors (5620132).

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

3687740 is a wasteful number, since it uses less digits than its factorization.

3687740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 3687740 is about 1920.3489266277. The cubic root of 3687740 is about 154.4970168009.

The spelling of 3687740 in words is "three million, six hundred eighty-seven thousand, seven hundred forty".