3523680 has 72 divisors (see below), whose sum is σ = 12029472. Its totient is φ = 939264.

The previous prime is 3523651. The next prime is 3523691. The reversal of 3523680 is 863253.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217 + ... + 2663.

It is an arithmetic number, because the mean of its divisors is an integer number (167076).

Almost surely, 2^3523680 is an apocalyptic number.

3523680 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 3523680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6014736).

3523680 is an abundant number, since it is smaller than the sum of its proper divisors (8505792).

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

3523680 is a wasteful number, since it uses less digits than its factorization.

3523680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3523680 is about 1877.1467710331. The cubic root of 3523680 is about 152.1710908202.

The spelling of 3523680 in words is "three million, five hundred twenty-three thousand, six hundred eighty".