3620188224 has 189 divisors, whose sum is σ = 10947818973. Its totient is φ = 1143673344.

The previous prime is 3620188219. The next prime is 3620188241. The reversal of 3620188224 is 4228810263.

The square root of 3620188224 is 60168.

It is a perfect power (a square), and thus also a powerful number.

3620188224 is a `hidden beast` number, since 3 + 620 + 1 + 8 + 8 + 2 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2523253824 + 1096934400 = 50232^2 + 33120^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33212682 + ... + 33212790.

Almost surely, 2^3620188224 is an apocalyptic number.

3620188224 is the 60168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3620188224

3620188224 is an abundant number, since it is smaller than the sum of its proper divisors (7327630749).

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

3620188224 is a wasteful number, since it uses less digits than its factorization.

3620188224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The cubic root of 3620188224 is about 1535.4784199121.

Multiplying 3620188224 by its sum of digits (36), we get a square (130326776064 = 361008²).

3620188224 divided by its sum of digits (36) gives a square (100560784 = 10028²).

Multiplying 3620188224 by its product of nonzero digits (36864), we get a square (133454618689536 = 11552256²).

Adding to 3620188224 its reverse (4228810263), we get a palindrome (7848998487).

It can be divided in two parts, 3620 and 188224, that added together give a square (191844 = 438²).

The spelling of 3620188224 in words is "three billion, six hundred twenty million, one hundred eighty-eight thousand, two hundred twenty-four".