3438500 has 72 divisors (see below), whose sum is σ = 8454264. Its totient is φ = 1214400.

The previous prime is 3438469. The next prime is 3438511. The reversal of 3438500 is 58343.

It can be written as a sum of positive squares in 4 ways, for example, as 541696 + 2896804 = 736^2 + 1702^2 .

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 149489 + ... + 149511.

Almost surely, 2^3438500 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 3438500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4227132).

3438500 is an abundant number, since it is smaller than the sum of its proper divisors (5015764).

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

3438500 is a wasteful number, since it uses less digits than its factorization.

3438500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 3438500 is about 1854.3192821087. The cubic root of 3438500 is about 150.9349016937.

The spelling of 3438500 in words is "three million, four hundred thirty-eight thousand, five hundred".