3620520 has 96 divisors (see below), whose sum is σ = 12004200. Its totient is φ = 946176.

The previous prime is 3620501. The next prime is 3620537. The reversal of 3620520 is 250263.

3620520 = 120² + 121² + ... + 232².

It can be written as a sum of positive squares in 4 ways, for example, as 1205604 + 2414916 = 1098^2 + 1554^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3620493 and 3620502.

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 23 ways as a sum of consecutive naturals, for example, 31984 + ... + 32096.

Almost surely, 2^3620520 is an apocalyptic number.

3620520 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 3620520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6002100).

3620520 is an abundant number, since it is smaller than the sum of its proper divisors (8383680).

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

3620520 is a wasteful number, since it uses less digits than its factorization.

3620520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3620520 is about 1902.7664071031. The cubic root of 3620520 is about 153.5525325330.

Adding to 3620520 its reverse (250263), we get a palindrome (3870783).

It can be divided in two parts, 36 and 20520, that multiplied together give a triangular number (738720 = T₁₂₁₅).

The spelling of 3620520 in words is "three million, six hundred twenty thousand, five hundred twenty".