3129280 has 112 divisors (see below), whose sum is σ = 9363456. Its totient is φ = 967680.

The previous prime is 3129271. The next prime is 3129289. The reversal of 3129280 is 829213.

3129280 = 211² + 212² + ... + 265².

It is an interprime number because it is at equal distance from previous prime (3129271) and next prime (3129289).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3129289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24577 + ... + 24703.

Almost surely, 2^3129280 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 3129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4681728).

3129280 is an abundant number, since it is smaller than the sum of its proper divisors (6234176).

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

3129280 is a wasteful number, since it uses less digits than its factorization.

3129280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 3129280 is about 1768.9771055613. The cubic root of 3129280 is about 146.2676020405.

The spelling of 3129280 in words is "three million, one hundred twenty-nine thousand, two hundred eighty".