3762220 has 72 divisors (see below), whose sum is σ = 10054800. Its totient is φ = 1169280.

The previous prime is 3762211. The next prime is 3762259. The reversal of 3762220 is 222673.

3762220 = T₁₈₈ + T₁₈₉ + ... + T₃₀₇.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3762191 and 3762200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10606 + ... + 10954.

It is an arithmetic number, because the mean of its divisors is an integer number (139650).

Almost surely, 2^3762220 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 3762220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5027400).

3762220 is an abundant number, since it is smaller than the sum of its proper divisors (6292580).

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

3762220 is a wasteful number, since it uses less digits than its factorization.

3762220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 3762220 is about 1939.6442972875. The cubic root of 3762220 is about 155.5301995708.

Adding to 3762220 its reverse (222673), we get a palindrome (3984893).

The spelling of 3762220 in words is "three million, seven hundred sixty-two thousand, two hundred twenty".