3472820 has 72 divisors (see below), whose sum is σ = 8513064. Its totient is φ = 1181952.

The previous prime is 3472817. The next prime is 3472831. The reversal of 3472820 is 282743.

It can be written as a sum of positive squares in 4 ways, for example, as 417316 + 3055504 = 646^2 + 1748^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3472820.

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, 93842 + ... + 93878.

It is an arithmetic number, because the mean of its divisors is an integer number (118237).

Almost surely, 2^3472820 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 3472820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4256532).

3472820 is an abundant number, since it is smaller than the sum of its proper divisors (5040244).

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

3472820 is a wasteful number, since it uses less digits than its factorization.

3472820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 3472820 is about 1863.5503749564. The cubic root of 3472820 is about 151.4354054452.

The spelling of 3472820 in words is "three million, four hundred seventy-two thousand, eight hundred twenty".