3485280 has 96 divisors (see below), whose sum is σ = 11267424. Its totient is φ = 905216.

The previous prime is 3485269. The next prime is 3485291. The reversal of 3485280 is 825843.

It is an interprime number because it is at equal distance from previous prime (3485269) and next prime (3485291).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25372 + ... + 25508.

It is an arithmetic number, because the mean of its divisors is an integer number (117369).

Almost surely, 2^3485280 is an apocalyptic number.

3485280 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 3485280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5633712).

3485280 is an abundant number, since it is smaller than the sum of its proper divisors (7782144).

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

3485280 is a wasteful number, since it uses less digits than its factorization.

3485280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 3485280 is about 1866.8904627749. The cubic root of 3485280 is about 151.6162990716.

The spelling of 3485280 in words is "three million, four hundred eighty-five thousand, two hundred eighty".