3437820 has 72 divisors (see below), whose sum is σ = 10614240. Its totient is φ = 900480.

The previous prime is 3437813. The next prime is 3437827. The reversal of 3437820 is 287343.

It is an interprime number because it is at equal distance from previous prime (3437813) and next prime (3437827).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3437827) by changing a digit.

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, 12646 + ... + 12914.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 2^3437820 is an apocalyptic number.

3437820 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 3437820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307120).

3437820 is an abundant number, since it is smaller than the sum of its proper divisors (7176420).

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

3437820 is a wasteful number, since it uses less digits than its factorization.

3437820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3437820 is about 1854.1359173480. The cubic root of 3437820 is about 150.9249513763.

The spelling of 3437820 in words is "three million, four hundred thirty-seven thousand, eight hundred twenty".