3652680 has 64 divisors (see below), whose sum is σ = 11160000. Its totient is φ = 956160.

The previous prime is 3652679. The next prime is 3652697. The reversal of 3652680 is 862563.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 3⁹ + 6³ + 5⁹ + 2⁵ + 6⁸ + 8 + 0 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7071 + ... + 7569.

It is an arithmetic number, because the mean of its divisors is an integer number (174375).

Almost surely, 2^3652680 is an apocalyptic number.

3652680 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 3652680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580000).

3652680 is an abundant number, since it is smaller than the sum of its proper divisors (7507320).

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

3652680 is a wasteful number, since it uses less digits than its factorization.

3652680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 3652680 is about 1911.1985768099. The cubic root of 3652680 is about 154.0058467449.

The spelling of 3652680 in words is "three million, six hundred fifty-two thousand, six hundred eighty".