3487400 has 96 divisors (see below), whose sum is σ = 9642240. Its totient is φ = 1148160.

The previous prime is 3487391. The next prime is 3487403. The reversal of 3487400 is 47843.

3487400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3487400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3487403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65774 + ... + 65826.

It is an arithmetic number, because the mean of its divisors is an integer number (100440).

Almost surely, 2^3487400 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 3487400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821120).

3487400 is an abundant number, since it is smaller than the sum of its proper divisors (6154840).

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

3487400 is a wasteful number, since it uses less digits than its factorization.

3487400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 114 counting only the distinct ones).

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

The square root of 3487400 is about 1867.4581655287. The cubic root of 3487400 is about 151.6470341827.

The spelling of 3487400 in words is "three million, four hundred eighty-seven thousand, four hundred".