3652320 has 96 divisors (see below), whose sum is σ = 13160448. Its totient is φ = 834048.

The previous prime is 3652303. The next prime is 3652333. The reversal of 3652320 is 232563.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2817 + ... + 3903.

It is an arithmetic number, because the mean of its divisors is an integer number (137088).

Almost surely, 2^3652320 is an apocalyptic number.

3652320 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 3652320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6580224).

3652320 is an abundant number, since it is smaller than the sum of its proper divisors (9508128).

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

3652320 is a wasteful number, since it uses less digits than its factorization.

3652320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 3652320 is about 1911.1043927530. The cubic root of 3652320 is about 154.0007870877. Note that the first 3 decimals are identical.

Adding to 3652320 its reverse (232563), we get a palindrome (3884883).

The spelling of 3652320 in words is "three million, six hundred fifty-two thousand, three hundred twenty".