3546880 has 72 divisors (see below), whose sum is σ = 9050832. Its totient is φ = 1327104.

The previous prime is 3546877. The next prime is 3546883. The reversal of 3546880 is 886453.

It is an interprime number because it is at equal distance from previous prime (3546877) and next prime (3546883).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3546883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21679 + ... + 21841.

It is an arithmetic number, because the mean of its divisors is an integer number (125706).

Almost surely, 2^3546880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4525416).

3546880 is an abundant number, since it is smaller than the sum of its proper divisors (5503952).

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

3546880 is a wasteful number, since it uses less digits than its factorization.

3546880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 3546880 is about 1883.3162241111. The cubic root of 3546880 is about 152.5043266711.

The spelling of 3546880 in words is "three million, five hundred forty-six thousand, eight hundred eighty".