3546640 has 40 divisors (see below), whose sum is σ = 8445888. Its totient is φ = 1384320.

The previous prime is 3546637. The next prime is 3546643. The reversal of 3546640 is 466453.

3546640 = 19³ + 20³ + ... + 61³.

It is an interprime number because it is at equal distance from previous prime (3546637) and next prime (3546643).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 3546599 and 3546608.

It is not an unprimeable number, because it can be changed into a prime (3546643) 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, 2925 + ... + 3955.

Almost surely, 2^3546640 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 3546640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222944).

3546640 is an abundant number, since it is smaller than the sum of its proper divisors (4899248).

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

3546640 is a wasteful number, since it uses less digits than its factorization.

3546640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 3546640 is about 1883.2525056402. The cubic root of 3546640 is about 152.5008868532.

It can be divided in two parts, 3546 and 640, that added together give a triangular number (4186 = T₉₁).

The spelling of 3546640 in words is "three million, five hundred forty-six thousand, six hundred forty".