3688740 has 168 divisors, whose sum is σ = 13220928. Its totient is φ = 855360.

The previous prime is 3688709. The next prime is 3688757. The reversal of 3688740 is 478863.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3688695 and 3688704.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 160369 + ... + 160391.

It is an arithmetic number, because the mean of its divisors is an integer number (78696).

Almost surely, 2^3688740 is an apocalyptic number.

3688740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3688740 is the 1215-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3688740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6610464).

3688740 is an abundant number, since it is smaller than the sum of its proper divisors (9532188).

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

3688740 is a wasteful number, since it uses less digits than its factorization.

3688740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3688740 is about 1920.6092783281. The cubic root of 3688740 is about 154.5109804619.

The spelling of 3688740 in words is "three million, six hundred eighty-eight thousand, seven hundred forty".