3353760 has 144 divisors (see below), whose sum is σ = 12206376. Its totient is φ = 835584.

The previous prime is 3353729. The next prime is 3353767. The reversal of 3353760 is 673533.

It can be written as a sum of positive squares in 4 ways, for example, as 3111696 + 242064 = 1764^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3353760² = 22495412275200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3353767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24412 + ... + 24548.

Almost surely, 2^3353760 is an apocalyptic number.

3353760 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 3353760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6103188).

3353760 is an abundant number, since it is smaller than the sum of its proper divisors (8852616).

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

3353760 is a wasteful number, since it uses less digits than its factorization.

3353760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

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

The square root of 3353760 is about 1831.3273874433. The cubic root of 3353760 is about 149.6846709150.

It can be divided in two parts, 335 and 3760, that added together give a triangular number (4095 = T₉₀).

The spelling of 3353760 in words is "three million, three hundred fifty-three thousand, seven hundred sixty".