3546480 has 80 divisors (see below), whose sum is σ = 12570624. Its totient is φ = 810240.

The previous prime is 3546469. The next prime is 3546509. The reversal of 3546480 is 846453.

3546480 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 (80).

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 3⁷ + 5⁹ + 4⁹ + 6⁷ + 4¹⁰ + 8³ + 0 .

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 15 ways as a sum of consecutive naturals, for example, 625 + ... + 2735.

Almost surely, 2^3546480 is an apocalyptic number.

3546480 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 3546480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6285312).

3546480 is an abundant number, since it is smaller than the sum of its proper divisors (9024144).

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

3546480 is a wasteful number, since it uses less digits than its factorization.

3546480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3546480 is about 1883.2100254618. The cubic root of 3546480 is about 152.4985935551.

The spelling of 3546480 in words is "three million, five hundred forty-six thousand, four hundred eighty".