3652840 has 64 divisors (see below), whose sum is σ = 8812800. Its totient is φ = 1360128.

The previous prime is 3652829. The next prime is 3652843. The reversal of 3652840 is 482563.

It is a junction number, because it is equal to n+sod(n) for n = 3652799 and 3652808.

It is not an unprimeable number, because it can be changed into a prime (3652843) 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, 54487 + ... + 54553.

It is an arithmetic number, because the mean of its divisors is an integer number (137700).

Almost surely, 2^3652840 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 3652840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406400).

3652840 is an abundant number, since it is smaller than the sum of its proper divisors (5159960).

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

3652840 is a wasteful number, since it uses less digits than its factorization.

3652840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 3652840 is about 1911.2404349009. The cubic root of 3652840 is about 154.0080953747.

The spelling of 3652840 in words is "three million, six hundred fifty-two thousand, eight hundred forty".