3261960 has 192 divisors, whose sum is σ = 12383280. Its totient is φ = 737280.

The previous prime is 3261931. The next prime is 3261961. The reversal of 3261960 is 691623.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 459684 + 2802276 = 678^2 + 1674^2 .

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 not an unprimeable number, because it can be changed into a prime (3261961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79540 + ... + 79580.

Almost surely, 2^3261960 is an apocalyptic number.

3261960 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 3261960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191640).

3261960 is an abundant number, since it is smaller than the sum of its proper divisors (9121320).

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

3261960 is a wasteful number, since it uses less digits than its factorization.

3261960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3261960 is about 1806.0896987691. The cubic root of 3261960 is about 148.3062807488.

The spelling of 3261960 in words is "three million, two hundred sixty-one thousand, nine hundred sixty".