3487680 has 168 divisors, whose sum is σ = 13789152. Its totient is φ = 792576.

The previous prime is 3487661. The next prime is 3487691. The reversal of 3487680 is 867843.

3487680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 20074 + ... + 20246.

Almost surely, 2^3487680 is an apocalyptic number.

3487680 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 3487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894576).

3487680 is an abundant number, since it is smaller than the sum of its proper divisors (10301472).

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

3487680 is a wasteful number, since it uses less digits than its factorization.

3487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3487680 is about 1867.5331322362. The cubic root of 3487680 is about 151.6510926058.

The spelling of 3487680 in words is "three million, four hundred eighty-seven thousand, six hundred eighty".