3486960 has 120 divisors (see below), whose sum is σ = 12186720. Its totient is φ = 892416.

The previous prime is 3486953. The next prime is 3486971. The reversal of 3486960 is 696843.

3486960 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 (120).

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

It is a zygodrome in base 14.

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, 20797 + ... + 20963.

It is an arithmetic number, because the mean of its divisors is an integer number (101556).

Almost surely, 2^3486960 is an apocalyptic number.

3486960 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 3486960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093360).

3486960 is an abundant number, since it is smaller than the sum of its proper divisors (8699760).

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

3486960 is a wasteful number, since it uses less digits than its factorization.

3486960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3486960 is about 1867.3403546220. The cubic root of 3486960 is about 151.6406562219.

The spelling of 3486960 in words is "three million, four hundred eighty-six thousand, nine hundred sixty".