3480960 has 192 divisors, whose sum is σ = 13255920. Its totient is φ = 774144.

The previous prime is 3480947. The next prime is 3480973. The reversal of 3480960 is 690843.

It is an interprime number because it is at equal distance from previous prime (3480947) and next prime (3480973).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 14.

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, 94062 + ... + 94098.

Almost surely, 2^3480960 is an apocalyptic number.

3480960 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 3480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6627960).

3480960 is an abundant number, since it is smaller than the sum of its proper divisors (9774960).

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

3480960 is a wasteful number, since it uses less digits than its factorization.

3480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3480960 is about 1865.7330998833. The cubic root of 3480960 is about 151.5536304371.

The spelling of 3480960 in words is "three million, four hundred eighty thousand, nine hundred sixty".