4188340 has 48 divisors (see below), whose sum is σ = 9631440. Its totient is φ = 1520640.

The previous prime is 4188337. The next prime is 4188347. The reversal of 4188340 is 438814.

It can be written as a sum of positive squares in 8 ways, for example, as 2039184 + 2149156 = 1428^2 + 1466^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4188299 and 4188308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4188347) 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, 23050 + ... + 23230.

It is an arithmetic number, because the mean of its divisors is an integer number (200655).

Almost surely, 2^4188340 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 4188340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815720).

4188340 is an abundant number, since it is smaller than the sum of its proper divisors (5443100).

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

4188340 is a wasteful number, since it uses less digits than its factorization.

4188340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 4188340 is about 2046.5434273428. The cubic root of 4188340 is about 161.1934200468.

It can be divided in two parts, 418 and 8340, that multiplied together give a triangular number (3486120 = T₂₆₄₀).

The spelling of 4188340 in words is "four million, one hundred eighty-eight thousand, three hundred forty".