3678540 has 48 divisors (see below), whose sum is σ = 10584672. Its totient is φ = 953856.

The previous prime is 3678539. The next prime is 3678541. The reversal of 3678540 is 458763.

It is an interprime number because it is at equal distance from previous prime (3678539) and next prime (3678541).

It is not an unprimeable number, because it can be changed into a prime (3678541) 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, 1392 + ... + 3048.

It is an arithmetic number, because the mean of its divisors is an integer number (220514).

Almost surely, 2^3678540 is an apocalyptic number.

3678540 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 3678540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5292336).

3678540 is an abundant number, since it is smaller than the sum of its proper divisors (6906132).

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

3678540 is a wasteful number, since it uses less digits than its factorization.

3678540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 3678540 is about 1917.9520327683. The cubic root of 3678540 is about 154.3684325201.

The spelling of 3678540 in words is "three million, six hundred seventy-eight thousand, five hundred forty".