3537360 has 120 divisors (see below), whose sum is σ = 12621960. Its totient is φ = 887808.

The previous prime is 3537337. The next prime is 3537407. The reversal of 3537360 is 637353.

It can be written as a sum of positive squares in 4 ways, for example, as 467856 + 3069504 = 684^2 + 1752^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208072 + ... + 208088.

It is an arithmetic number, because the mean of its divisors is an integer number (105183).

Almost surely, 2^3537360 is an apocalyptic number.

3537360 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 3537360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6310980).

3537360 is an abundant number, since it is smaller than the sum of its proper divisors (9084600).

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

3537360 is a wasteful number, since it uses less digits than its factorization.

3537360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 27.

The square root of 3537360 is about 1880.7870692877. The cubic root of 3537360 is about 152.3677613829.

The spelling of 3537360 in words is "three million, five hundred thirty-seven thousand, three hundred sixty".